GIUSEPPE MINGIONE, CV

1. Vita • Giuseppe Mingione, born in 1972 in Caserta (Italy), Italian citizen; lives in Parma, Italy • Professor of Mathematics (Professore Ordinario) at the University of Parma since 2006 • Degree (1994) and Ph.D. (1998) in Mathematics, Universit`adi Napoli “Fed- erico II” • Formerly research associate (1996-2000) and associate professor (2001-2005) at the University of Parma

2. Distinctions • Amerio Prize 2016 • Invited speaker, 7th European Congress of Mathematics, Berlin, 2016 • Nachdiplom Lecturer, ETH Z¨urich, 2015 • Highly cited researcher (Thomson Reuters-Clarivate, in 2014, 15 and 16) • Plenary address, Italian Mathematical Society conference, 2011 • Caccioppoli Prize 2010 • Plenary address, German Mathematical Society conference, 2008 • European Research Council Grant, 2007 • Stampacchia Medal 2006 • Bartolozzi Prize 2005 • Otto Haupt Chair, University of Erlangen-Nuremberg, 2004

3. Mentoring • 4 Postdocs at the University of Parma • 1 PhD student (defended) at the Scuola Normale Superiore, Pisa

4. Editorial boards • Communications in Contemporary Mathematics (2016-) • Analysis in Theory and Applications (2015-) • Advances in Differential Equations (2015-) • Book Series on OA Measure Theory - De Gruyter Verlag (2014-) • UMI Lecture Notes - Springer Verlag (2013-) • Advances in Nonlinear Analysis (2011-) • Nonlinear Analysis (2011-) • Advances in Calculus of Variations (2008-) • manuscripta mathematica (2007-2015)

5. Bibliometrics • H-Index = 32 (Scopus), 30 (WoS) • Highly cited researcher (Thomson Reuters-Clarivate Analytics, editions 2014, 15 and 16) 1 2 GIUSEPPE MINGIONE, CV

6. Events (main Organizer) • Quasilinear PDEs and game theory - Uppsala Universitet, December 13 • Mittag-Leffer intensive period “Evolutionary problems”, Stockholm, Fall 13 • Fifth Australia-Italy-Taiwan trilateral meeting, Wollongong, December 12 • New trends in nonlinear parabolic equations - Parma, November 12 • Two days on nonlocal operators and applications - Parma, October 12 • Topics in calculus of variations and applications - Parma, October 12 • Nonlinear problems in PDEs - Parma, Spring 2010 • Intensive research month on hyperbolic conservation laws and fluid dynam- ics - Parma, February 2010 • Regularity for nonlinear PDES - DeGiorgi center, Scuola Normale Superi- ore, Pisa, September 2009 • 6th European conference on elliptic and parabolic problems - Gaeta (Italy), May 2009 • Conference “Trends in the calculus of variations”, Parma, September 2004

7. Various • Member of the PhD evaluation committee in: Universidad Autonoma de Madrid, Universit¨atErlangen-Nuremberg, Helsinki University of Technol- ogy, Universit¨at Ulm¨ • Member of the evaluation committee for professorships in: University of Lincoln-Nebraska, University of Pittsburgh, University of Queensland, Lou- siana State University, University of Jyvaskyla

8. Visiting appointments (with research collaboration) • The Fields Institute for Mathematical Research, Toronto (16) • University of Texas at Austin (13,14) • Columbia University (12) • University of Uppsala (11) • Seoul National University (11) • Australian National University, Canberra (10,12) • Centro De Giorgi, Scuola Normale Superiore, Pisa (09,12,14) • Czech Academy of Sciences, Prague (09) • University of Jyiv¨askyl¨a(08) • Aalto University of Technology of Helsinki (07,08,10,11,13,14,16) • University of Warsaw (07) • Humboldt Universit¨at,Berlin (06) • Department of Mathematics & FIM, ETH, Z¨urich (06,15) • University of Pittsburgh (05,12) • Institute of Mathematics, Universit¨atErlangen-Nuremberg (04,07,08) • Mathematical Institute, University of Oxford (04,05,07,08,10,11,14) • Universidad de Sevilla (04) • Universidad Autonoma de Madrid (04,13) • Institute f¨urAngew. Math., University of Bonn (02,12) • Charles University, Prague (02) • Steklov Math. Institute, St. Petersburg, The Russian Academy of Sciences (01) • Albert-Ludwigs Universit¨at,Freiburg, Germany (01,04) • Carnegie Mellon University, Pittsburgh (00,03,05) • Vladimir State University, Vladimir, Russia (00) GIUSEPPE MINGIONE, CV 3

• Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, Sweden (00,13) • Universit¨atdes Saarlandes, Saarbrucken, Germany (99)

9. Invited courses and series of lectures (L23) Summer school “Nonlocal and nonlinear diffusions and interactions”, CIME, July 2016 (L22) Spring school on Nonlocal Problems, Fields Institute, Toronto, May 2016 (L21) Winter school “Pdes and applications”, Universit`adi Napoli Federico II”, February 2016 (L20) Advanced courses in Geometric Analysis, CRM, Barcelona, September 2015 (L19) Summer school on Harmonic Analysis and Partial Differential Equations, BCAM, Bilbao, July 2015 (L18) Summer school on Harmonic Analysis and Partial Differential Equations, Aalto Univ., Helsinki, June 2015 (L17) Nachdiplom lectures, ETH Z¨urich, Spring 2015 (L16) Graduate course at IMPA, Rio de Janeiro, July 2013 (L15) Graduate course at the Departamento de Matematicas, Universidad Au- tonoma de Madrid, May 2013 (L14) Course at the summer school “Topics in Nonlinear Parabolic Equations”, Centro De Giorgi, Scuola Normale Superiore, Pisa, June 2012 (L13) Course at the intensive period “Calculus of Variations, Singular Integrals and Incompressible flows”, Universidad Autonoma de Madrid, October 2010 (L12) Course at the Summer school on “Function spaces and applications NAFSA9”, Czech Academy of Sciences and Charles Univ. Prague, September 2010 (L11) Course at the Winter school “Parabolic and elliptic PDE”, University of Swansea, January 2010 (L10) Course at the INDAM intesive period “Geometric properties of nonlinear local non-local problems”, Politecnico di Milano-Universit`adi Pavia, May 2009 (L9) Course at the summer school “Minicorsi di Analisi Matematica”, University of Padua, June 2008 (L8) Course at the spring school “Harmonic Analysis and PDE”, Helsinki University of Technology, June 2008 (L7) Course at the spring school “Topics in nonlinear PDE”, Helsinki University of Technology, June 2007 (L6) Course at the spring school “Qualitative Properties of Solutions to Elliptic and Parabolic Equations”, Saariselk¨a,University of Helsinki June 2007 (L5) Course at the summer school of the “Studienstiftung des deutschen Volkes - German National Academic Foundation”, September 2005 (L4) Course at the “Ninth Paseky School in Mathematical Theory in Fluid Me- chanics”, Charles University of Prague, Paseky, June 2005 (L3) Graduate course, Department of Mathematics, University of Pittsburgh, May 2005 (L2) Graduate course, Departamento de Analisi Matematico, Universidad de Sevilla, February 2004 (L1) Graduate course, Carnegie Mellon University, Pittsburgh, March 2003

10. Public lectures (P5) Segnavie (schools), Fondazione Cariparo, Rovigo, September 2016 (P4) Segnavie (general), Fondazione Cariparo, Padova, September 2016 (https://www.youtube.com/watch?v=PUOrxL8XLJM) (P3) Tedx, Arezzo, March 2016 (https://www.youtube.com/watch?v=KV0gql8dPyw) 4 GIUSEPPE MINGIONE, CV

(P2) “La coincidenza De Giorgi-Nash”, Universit`adi Chieti-Pescara, December 2015 (https://www.youtube.com/watch?v=Jy6x6D26LIc) (P1) “Qualche storia di matematica per ragazzi”, Universit`adella Calabria, Novem- ber 2014 (https://www.youtube.com/watch?v=TTdKXhO2VYY#t=3h01m10s)

11. Invited research talks (152) Speaker at the “Workshop on calculus of variations and nonlinear PDE”, for the 60th birthday of Francesco Leonetti, November 2016 (151) Speaker at the conference ”Nonlinear PDE, inequalities and applications”, Rism, October 2016 (150) Speaker at the “Lecce conference on Calculus of Variations and PDE”, for the 60th birthday of Nicola Fusco, November 2016 October 2016 (149) Speaker at “3rd conference on recent trends in nonlinear phenomena”, Sep- tember 2016 (148) Analysis seminar, University of Padua, September 2016 (147) Speaker at the conference ”A Mathematical tribute to Ennio De Giorgi”, Scuola Normale Superiore di Pisa, September 2016 (146) Speaker at 7th European Congress of Mathematics, Berlin, July 2016 (145) Speaker at the “3d Conference on nonlocal operators and PDE”, Banach Center, Polish Academy of Sciences, June 2016 (144) Speaker at the conference “Regularity theory for elliptic and parabolic systems and problems in continuum mechanics”, Charles University Prague, May 2016 (143) Colloquium, Mathematics department, Aalto University of Technology (Helsinki Tech.), April 2016 (142) Speaker at the “2nd Conference on Recent Trends in Nonlinear Phenomena”, November 2015 (141) “Topics in Mathematics” seminar, Universit`adi Bologna, October 2015 (140) PDE seminar, Universidad Politecnica de Catalunya, September 2015 (139) Three city seminar Basel-Freiburg-Z¨urich, April 2015 (138) Seminarie d’Analyse, Ecole Polytechnique Superiore de Lausanne, March 2015 (137) Perlen-Kolloquium, Universit¨atBasel, March 2015 (136) Speaker at the “25th Conference on Calculus of Variations and Geometric Measure Theory”, Levico, February 2015 (135) Lunchtime seminar, Mathematical Institute, Oxford, January 2015 (134) Analysis seminar, Universit`adi Napoli “Federico II”, January 2015 (133) Speaker at the “Padova 2014 workshop on Calculus of Variations and PDE”, University of Padua, November 2014 (132) Speaker at the conference “Existence and regularity for nonlinear systems of partial differential equations”, Scuola Normale Superiore, Pisa, July 2014 (131) Speaker at the conference “Partial differential equations and stochastic meth- ods”, University of Jyvaskyla, June 2014 (130) Speaker at the conference “Recent advances in non-local and non-linear anal- ysis: theory and applications”, ETH Z¨urich, June 2014 (129) Geometric analysis seminar, University of Helsinki, May 2014 (128) Speaker at the conference “Regularity theory for elliptic and parabolic systems and problems in continuum mechanics”, Charles University Prague, May 2014 (127) Speaker at the “Intensive research week on calculus of variations, geometric analysis & PDE”, University of Sussex, March 2014 (126) Geometric analysis & PDE seminar, The University of Cambridge, March 2014 (125) OXPDE seminar, Mathematical Institute, Oxford, March 2014 (124) Analysis seminar, The University of Texas at Austin, February 2014 GIUSEPPE MINGIONE, CV 5

(123) Speaker at the conference “Nonlinear Problems with Singular data”, Ac- cademia dei Lincei, Roma, November 2013 (122) Speaker at the conference “New Trends in Calculus of Variations and Partial Differential Equations”, Accademia Pontaniana, Napoli, November 2013 (121) PDE seminar, Dipartimento di Matematica, Universit`adi Roma Tor Vergata, November 2013 (120) Speaker at the conference “Recent Trends in Differential Equations: Analysis and Discretisation Methods”, Technische Universit¨at,Berlin, November 2013 (119) “Mittag Leffler Seminar”, Mittag Leffler Institute, The Royal Swedish Acad- emy of Sciences, Djursholm (Stockholm, Sweden), October 2013 (118) Speaker at the conference “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, August 2013 (117) Speaker at the “29th Col´oquioBrasileiro de Matem´atica”,IMPA, Rio de Janeiro, July 2013 (116) Speaker at the conference “Nonlinear elliptic and parabolic partial differential equations”, Politecnico di Milano, June 2013 (115) Speaker at the conference “Calculus of variations and differential equations”, Ecole Polytechnique Superiore de Lausanne, June 2013 (114) Speaker at the “Symposium on nonlinear PDEs”, Norwegian University of Science and Technology, June 2013 (113) Seminar, Departamento de Matematicas, Universidad Autonoma de Madrid, April 2013 (112) Analysis seminar, The University of Texas at Austin, February 2013 (111) Speaker at the conference “The p-Laplacean operator and applications”, Oberwolfach Mathematical Institute, February 2013 (110) Speaker at the “Fifth trilateral meeting Australia-Italy-Taiwan”, Wollongong, December 2012 (109) Speaker at the “International conference on nonlinear PDE”, Mathematical Institute, Oxford, September 2012 (108) Speaker at the conference “Recent Trends in Nonlinear Diffusion”, Centro De Giorgi, Scuola Normale Superiore, Pisa, July 2012 (107) Speaker at the “INDAM day”, June 2012 (106) Speaker at the conference “Workshop on Nonlinear Partial Differential Equa- tions”, Universit`adi Perugia, May 2012 (105) “PDE & Analysis seminar”, University of Pittsburgh, April 2012 (104) “CNA seminar”, Carnegie Mellon University, April 2012 (103) Speaker at the “Fifteen Fabes-Riviere symposium”, University of Minnesota, April 2012 (102) “PDE & Geometric Analysis seminar”, Columbia University, April 2012 (101) “Pure Math. Seminar”, Math. Institute, The University of Queensland, April 2012 (100) Colloquium, Math. Institute, The University of Queensland, April 2012 (99) “PDE seminar”, Math. Institute, The University of Sidney, April 2012 (97) Colloquium, MSI, The Australian National University, March 2012 (96) “PDE & Analysis seminar”, MSI, The Australian National University, March 2012 (95) Speaker at the conference “Trends in Mathematical Analysis”, Politecnico di Milano, March 2012 (94) SFB seminar, Mathematische Institut der Universit¨atBonn, January 2012 (93) Analysis seminar, Politecnico di Bari, January 2012 (92) Speaker at the “Analysis & Stochastics seminar” - inaugural lecture, University of Uppsala, November 2011 6 GIUSEPPE MINGIONE, CV

(91) Speaker at the conference “Nonlinear PDEs and Functional Inequalities”, Uni- versidad Autonoma de Madrid, September 2011 (90) Plenary Speaker at the 19th meeting of the Italian Math. Union, September 2011 (89) Principal lecturer at the second “PRIMA-PARC-PIMS Meeting on PDEs”, Seoul National University, August 2011 (88) Analysis seminar, Seoul National University, August 2011 (87) Speaker at the conference “Optimization days”, Ancona, June 2011 (86) Analysis seminar, University of Warwick, June 2011 (85) Speaker at the conference “Multiscale methods and qualitative properties for differential operators”, in honor of V.V. Zhikov on his 70th birthday, May 2011 (84) Speaker at the “21th Conference on Calculus of Variations and Geometric Measure Theory”, Levico, February 2011 (83) Speaker at the conference “Geometric and Nonlinear Partial Differential Equa- tions”, The Australian National University, August 2010 (82) Speaker at the conference “Calculus of Variations”, Oberwolfach Mathematical Institute, July 2010 (81) Speaker at the conference “Vector-valued mappings and systems of PDE”, Sapienza, Universit`adi Roma, Roma, May 2010 (80) Speaker at the Seminario Matematico e Fisico di Milano, May 2010 (79) Geometric Analysis Seminar, Department of Mathematics, University of Helsinki, March 2010 (78) Colloquium, Mathematics department, Aalto University of Technology (Helsinki Tech.), March 2010 (77) PDE seminar, Department of Mathematics, Universit`aLa Sapienza, Rome, March 2010 (76) Speaker at the “20th Conference on Calculus of Variations and Geometric Measure Theory”, Levico, February 2010 (75) Speaker at the conference “ERC: a challenge for Italy”, Scuola Normale Supe- riore, Pisa, October 2009 (74) Speaker at the conference “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, August 2009 (73) Speaker at the conference “Nonlinear PDE and applications”, Universit`adi Catania, June 2009 (72) PDE seminar, Czech Academy of Sciences, Prague, March 2009 (71) Analysis seminar, SISSA-ISAS, Trieste, February 2009 (70) Speaker at the workshop on Calculus of Variations and PDE, Universit`adi Firenze, January 2009 (69) Calculus of Variations Seminar, Politecnico di Milano, December 2008 (68) PDE Seminar, Dept. of Math., University of Z¨urich, November 2008 (67) Speaker at the German Mathematical Society meeting, September 2008 (66) Speaker at the conference on “Elliptic and parabolic PDE”, June 2008 (65) Seminars in Analysis, Department of Mathematics, Univ. Jyv¨askyl¨a,April 2008 (64) Speaker at the conference “Sobolev spaces, PDE and continuity”, Roma, April 2008 (63) Analysis Seminar, Department of Mathematics, Univ. Pisa, April 2008 (62) Speaker at the “Meeting on Geometric measure theory and Calculus of Vari- ations”, Levico, February 2008 (61) Speaker at the “Launch meeting for the Oxford science and innovation grant”, Oxford, October 2007 GIUSEPPE MINGIONE, CV 7

(60) Speaker at the conference “PDE and Geometric function theory”, honoring T. Iwaniec, October 2007 (59) Colloquium, Institute of Mathematics, Universit¨atErlangen-Nuremberg, Au- gust 2007 (58) Speaker at the conference “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, July 2007 (57) Speaker at the conference “Geometric Analysis and Nonlinear PDE 2007”, Banach Center, Bedlewo, June 2007 (56) General Seminar, Department of Mathematics, University of Warsaw, May 2007 (55) Pde Seminar, Department of Mathematics, University of Warsaw, May 2007 (54) Analysis Seminar, Department of Mathematics, Universit`adi Perugia, April 2007 (53) Analysis Seminar, Department of Mathematics, Universit`adi Catania, March 2007 (52) Speaker at the “Meeting on Geometric measure theory and Calculus of Vari- ations”, Levico, February 2007 (51) Speaker at the conference “Geometric Analysis and PDE”, ICM Satellite, September 2006 (50) Speaker at the conference “Calculus of Variations”, Oberwolfach Mathematical Institute, July 2006 (49) Speaker at the conference “Variational Analysis and PDE”, Majorana Center, Erice, July 2006 (48) Speaker at the conference “Analysis and PDE, in honor of B. Bojarski”, Banach Center, Bedlewo (Poland), June 2006 (47) Berliner Oberseminar in Nonlinear PDE, Weierstrass Institute, Berlin, April 2006 (46) Analysis Seminar, Department of Mathematics, Universit`adi Napoli “Federico II”, March 2006 (45) Speaker at the “Meeting on Geometric measure theory and Calculus of Vari- ations”, Levico, February 2006 (44) Analysis seminar, Department of Mathematics, ETH, Z¨urich, January 2006 (43) Speaker at the conference “Week-end di lavoro sul Calcolo delle Variazioni”, Universit`adi Firenze, November 2005 (42) Seminar in Math. Analysis, Department of Mathematics, Politecnico di Mi- lano, October 2005 (41) Speaker at the conference “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, July 2005 (40) “CNA Seminar”, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, May 2005 (39) Speaker at the conference “Recent Advances in Calculus of Variations and PDE”, Pisa, March 2005 (38) Seminar in Math. Analysis, University of Padua, February 2005 (37) Speaker at the “Meeting on Geometric measure theory and Calculus of Vari- ations”, Levico, February 2005 (36) Colloquium, Institute of Mathematics, Universit¨atErlangen-N¨urnberg, April 2004 (35) “Oberseminar ¨uber Angewandte Mathematik ”, Department of Applied Math- ematics, Albert-Ludwigs Universit¨at,Freiburg, April 2004 (34) “Seminar in Pure and Applied Mathematics”, Department of Mathematics, University of Bath, March 2004 8 GIUSEPPE MINGIONE, CV

(33) “Applied Analysis and Mechanics Seminar”, Mathematical Institute, Univer- sity of Oxford, March 2004 (32) “Seminario de ecuaciones y matem´aticaaplicada”, Departamento de Matem- aticas, Universidad Autonoma de Madrid, February 2004 (31) Speaker at the Workshop “Equazioni alle derivate parziali”, Universit`adi Torino, October 2003 (30) Speaker at “EMS Math. week-ends, Special Session on Calculus of Variations”, Lisbon, September 2003 (29) Speaker at the conference “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, August 2003 (28) Speaker at “First AMS-RSME joint conference – Session on PDE Methods in Continuum Mechanics”, Seville, June 2003 (27) Seminar, Dipartimento di Metodi e Modelli Matematici per le Scienze Appli- cate, Universit`adi Roma “La Sapienza”, April 2003 (26) Seminar, Department of Mathematics, Universit`adi L’Aquila, February 2003 (25) Analysis seminar, Department of Mathematics, Universit`adi Napoli “Federico II”, Napoli, January 2003 (24) Speaker at the Spring School: “Seminar on Differential Equations”, (Org. P. Drabek), Pavlov (Palava region), Czech Republic, May 2002 (23) “Seminar on Partial Differential Equations”, Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, May 2002 (22) “The Prague Seminar on Function Spaces”, Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, May 2002 (21) “Calculus of Variations and PDE Seminar”, Department of Mathematics, Uni- versit`adi Firenze, Firenze, May 2002 (20) “CNA Seminar”, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, March 2002 (19) Speaker at the conference “Meeting on Geometric measure theory and Calculus of Variations, 2002” Levico (Trento), February 2002 (18) “Tuesday Seminar”, Department of Mathematics, Universit`adi Pisa, Pisa, October 2001 (17) “Smirnov Seminar on Math. Physics” (chaired by O. Ladyzhenskaya and N. Uraltseva), special session, Steklov Math. Institute, St. Petersburg, July 2001 (16) Seminar on Math. Analysis, Universit`adi L’Aquila, l’Aquila, June 2001 (15) Lecture at the “Seventh Paseky conference on Mathematical Fluid Mechanics” (Org. J. Necas, J. Malek & M. Ruzicka) Paseky (Czech Republic), June 2001 (14) Colloquium, Department of Mathematics, Albert-Ludwigs University, Freiburg (Germany), May 2001 (13) “Seminario di Calcolo delle Variazioni”, Department of Mathematics, Politec- nico di Milano, May 2001 (12) Speaker at the conference “Meeting on Geometric measure theory and Calculus of Variations, 2001” Levico (Trento), March 2001 (11) Colloquium, Department of Mathematics, University of Pittsburgh, Pitts- burgh, September 2000 (10) Speaker at the conference “Differential equations and Dynamical systems” (Org. V.V. Zhikov), Suzdal (Vladimir region), Russia, August 2000 (9) “Mittag Leffler Seminar”, Mittag Leffler Institute, The Royal Swedish Academy of Sciences, Djursholm (Stockholm, Sweden), April 2000 (8) Speaker at the conference “Meeting on Geometric measure theory, relaxation and Γ-convergence, 2000” - Levico - February (7) Seminar, Department of Mathematics, University of Salerno, March 1999 GIUSEPPE MINGIONE, CV 9

(6) Speaker at the conference “Meeting on Geometric measure theory, relaxation and Γ-convergence, 1999”, Levico, April 1999 (5) Speaker at the conference “Integral inequalities and applications” (Org. B. Franchi, T. Couhlon & C. Sbordone), Cortona, June 1999 (4) Speaker at the conference “Meeting on Geometric measure theory, relaxation and Γ-convergence”, Levico, April 1998 (3) Seminar, Department of Mathematics, Universit`adi Salerno, April 1998 (2) Seminar, Department of Mathematics, University of Bologna, March 1997 (1) Seminar, Department of Mathematics, University of L’Aquila, October 1995

12. Ten selected papers [S10] T. Kuusi, G. Mingione: Vectorial nonlinear potential theory, J. Eu- rop. Math. Soc., to appear – Foundations of vectorial nonlinear potential theory. Solution to the longstanding open problem of proving potential estimates for solu- tions to nonlinear, potentially degenerate elliptic systems. [S9] T. Kuusi, G. Mingione: Linear potentials in nonlinear potential theory, Arch. Rational Mech. Anal. 207 (2013) 215-246 – The Riesz potential gradient bound for solutions to degenerate equations involving measures is established; this solves, in an unexpected and sharp way, an open problem raised after the work of Kilpel¨ainen& Mal´yin Acta Math. 1994. [S8] G. Mingione: Gradient potential estimates, J. Europ. Math. Soc. 13 (2011) 459-486 – Pointwise gradient bounds via Riesz potentials like those avail- able for the poisson equation actually hold for general quasilinear equations. First answer to an open problem raised after the work of Kilpel¨ainen & Mal´yin Acta Math. 1994. [S7] J. Kristensen, G. Mingione: Boundary regularity in variational problems, Arch. Rational Mech. Anal. 198 (2010) 369-455 – Proof of the almost everywhere existence of boundary regular points of minima of integral functionals and partial boundary regularity; first general answer to a problem that remained open since the work of Jost & Meier in Math. Ann. 1983. [S6] J. Kristensen, G. Mingione: The singular set of Lipschitzian minima of multiple integrals, Arch. Rational Mech. Anal. 184 (2007) 341-369 – First singular set dimension estimate for minima of quasiconvex functionals; first general answer to an open problem raised after the work of L.C. Evans in ARMA 1986. [S5] G. Mingione: The Calder´on-Zygmund theory for elliptic problems with measure data, Ann. Scu. Norm. Sup. Pisa Cl. Sci (V) 6 (2007) 195-261 – Max- imal regularity for measure data problems and first differentiability results for the gradient of solutions. [S4] E. Acerbi, G. Mingione: Gradient estimates for a class of parabolic systems, Duke Math. J. 136 (2007) 285-320 – Sharp Calder´on-Zygmund theory for degenerate parabolic systems. Solution to a classical open problem raised after the work of T. Iwaniec in Studia Math. 1983, where the corresponding elliptic result is proved. The paper introduces a new technique that allows to give the first, Harmonic Analysis and interpolation free proof of Calder´on-Zygmund estimates, and already in the linear elliptic case. This approach has nowadays become a standard tool in the literature. [S3] F. Duzaar, J. Kristensen, G. Mingione: The existence of regular boundary points for non-linear elliptic systems, J. reine angew. Math. (Crelle J.) 602 (2007) 17-58 – Proof of the almost everywhere boundary regularity of solutions to 10 GIUSEPPE MINGIONE, CV general elliptic systems. Solves a classical open problem dating back to the end of the 70s, when even the existence of one regular boundary point was unknown; see page 247 in Giaquinta, Ann. Math. Studies 105, Princeton Univ. Press, 1983. [S2] J. Kristensen, G. Mingione: The singular set of minima of integral func- tionals, Arch. Rational Mech. Anal. 180 (2006) 331-398 – Singular set dimension estimates for minima of general variational integrals. Solves a classical open prob- lem dating back to the beginning of the 80s, when it was only known that the singular set was negligible; see open problem (a), page 117 in Giaquinta, ETH Lectures in Mathematics, Z¨urich, Birkh¨auser 1993. [S1] G. Mingione: The singular set of solutions to non-differentiable elliptic systems, Arch. Rational Mech. Anal. 166 (2003) 287-301 – The Hausdorff dimen- sion of the singular set of solutions to general nonlinear elliptic systems is strictly less that the ambient dimension. This settles a classical open problem dating back to the end of the 70s, when it was only known that the singular set was negligible; see page 191 in Giaquinta, Ann. Math. Studies 105, Princeton Univ. Press, 1983. More results are in my paper on Calc. Var. 2003.

13. Full list of publications

Research papers [P79] B. Avelin, T. Kuusi, G. Mingione: Nonlinear Calder´on-Zygmund theory in the limiting case. Preprint 2016

[P78] T. Kuusi, G. Mingione: Partial regularity and potentials. J. Ecole´ Pol. - Math. 3 (2016) 309-363

[P77] M. Colombo, G. Mingione: Calder´on-Zygmund estimates and non- uniformly elliptic operators. J. Functional Analysis 270 (2016) 1416-1478

[P76] T. Kuusi, G. Mingione: Vectorial nonlinear potential theory. J. Eu- rop. Math. Soc., to appear.

[P75] P. Baroni, M. Colombo, G. Mingione: Harnack inequalities for double phase functionals, Nonlinear analysis TMA 121 (2015) 206-222 (special issue for Enzo Mitidieri)

[P74] P. Baroni, M. Colombo, G. Mingione: Non-autonomous functionals, bor- derline cases and related function classes, St. Petersburg Math. J. 27 (2016) (special issue for Nina Ural’tseva)

[P73] P. Baroni, T. Kuusi, G. Mingione: Borderline gradient continuity of minima, J. Fixed Point Theory Appl. 15 (2014) 537-575 (H¨aimBrezis festschrift)

[P72] M. Colombo, G. Mingione: Bounded minimisers of double phase vari- ational integrals, Arch. Rational Mech. Anal. 218 (2015) 219-273

[P71] M. Colombo, G. Mingione: Regularity for double phase variational problems, Arch. Rational Mech. Anal. 215 (2015) 443-496.

[P70] T. Kuusi, G. Mingione, Y. Sire: Nonlocal equations with measure data, Comm. Math. Phys. 337 (2015) 1317-1368

[P69] T. Kuusi, G. Mingione, Y. Sire: Nonlocal self-improving properties, Analysis & PDE 8 (2015) 57-114 GIUSEPPE MINGIONE, CV 11

[P68] T. Kuusi, G. Mingione: Guide to nonlinear potential estimates, Bull. Math. Sci. 4 (2014) 1-82

[P67] T. Kuusi, G. Mingione: Borderline gradient continuity for nonlinear parabolic systems, Mathematische Annalen 360 (2014) 937–993

[P66] T. Kuusi, G. Mingione: A nonlinear Stein theorem, Calc. Var. & PDE 51 (2014) 45-86

[P65] T. Kuusi, G. Mingione: Riesz potentials and nonlinear parabolic equa- tions, Arch. Rational Mech. Anal. 212 (2014) 727-780

[P64] T. Kuusi, G. Mingione, K. Nystr¨om: A boundary Harnack inequality for singular equations of p-parabolic type, Proc. Amer. Math. Soc. 142 (2014) 2705-2719

[P63] P. Daskalopulous, T. Kuusi, G. Mingione: Borderline estimates for fully nonlinear equations, Comm. Partial Differential Equations 39 (2014) 574-590

[P62] T. Kuusi, G. Mingione, K. Nystr¨om: Sharp regularity for evolution- ary obstacle problems, interpolative geometries and removable sets, J. Math. Pures et Appl. 101 (2014) 119-151

[P61] T. Kuusi, G. Mingione: New perturbation methods in nonlinear par- abolic problems, J. Math. Pures et Appl. 98 (2012) 390-427

[P60] T. Kuusi, G. Mingione: Linear potentials in nonlinear potential theory, Arch. Rational Mech. Anal. 207 (2013) 215-246

[P59] T. Kuusi, G. Mingione: Gradient regularity for nonlinear parabolic equations, Ann. Scu. Norm. Sup. Pisa Cl. Sci (V) 12 (2013) 755-822

[P58] T. Kuusi, G. Mingione: The Wolff gradient bound for degenerate par- abolic equations, J. Europ. Math. Soc. 16 (2014) 835-892

[P57] G. Mingione: Nonlinear measure data problems, Milan J. Math. 79 (2011) 429-496

[P56] T. Kuusi, G. Mingione: Universal potential estimates, J. Functional Analysis 262 (2012) 4205-4269

[P55] T. Kuusi, G. Mingione: Potential estimates and gradient boundedness for nonlinear parabolic systems, Rev. Mat. Iberoamericana 28 (2012) 535-576

[P54] V. B¨ogelein,M. Foss, G. Mingione: Regularity in parabolic systems with continuous coefficients, Mathematische Zeitschrift 270 (2012) 903-938

[P53] V. B¨ogelein,F. Duzaar, G. Mingione: The regularity of nonlinear par- abolic systems with degenerate diffusion, Memoirs of the Amer. Math. Soc. (2013) 221 (2013), no. 1041, 149 pages

[P52] F. Duzaar, G. Mingione: Gradient estimates via linear and nonlinear potentials, J. Functional Analysis 259 (2010) 2961-2998

[P51] F. Duzaar, G. Mingione: Local Lipschitz regularity for degenerate elliptic systems, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 27 (2010) 1361- 1396 12 GIUSEPPE MINGIONE, CV

[P50] F. Duzaar, G. Mingione: Gradient continuity estimates, Calc. Var. & PDE 39 (2010) 379-418

[P49] V. B¨ogelein,F. Duzaar, G. Mingione: Degenerate problems with irreg- ular obstacles, J. reine angew. Math. (Crelle J.) 650 (2011) 107-160

[P48] F. Duzaar, G. Mingione: Gradient estimates via non-linear potentials, Amer. J. Math. 133 (2011) 1093-1149.

[P47] V. B¨ogelein,F. Duzaar, G. Mingione: The boundary regularity of non- linear parabolic systems II, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 27 (2010), 145-200

[P46] V. B¨ogelein,F. Duzaar, G. Mingione: The boundary regularity of non- linear parabolic systems I, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 27 (2010), 201-255

[P45] G. Mingione: Gradient potential estimates, J. Europ. Math. Soc. 13 (2011) 459-486.

[P44] J. Kristensen, G. Mingione: Boundary regularity in variational prob- lems, Arch. Rational Mech. Anal. 198 (2010) 369-455

[P43] F. Duzaar, G. Mingione, K. Steffen: Parabolic systems with polynomial growth and regularity, Memoirs of the Amer. Math. Soc. 214 (2011) no. 1005, 128 pages

[P42] G. Mingione: Gradient estimates below the duality exponent, Mathe- matische Annalen 346 (2010), 571-627.

[P41] G. Mingione, A. Zatorska-Goldstein, X. Zhong: Gradient regularity for elliptic equations in the Heisenberg Group, Adv. Math. 222 (2009) 62-129

[P40] M. Foss, G. Mingione: Partial continuity for elliptic problems, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 25 (2008) 471-503

[P39] G. Mingione: The Calder´on-Zygmund theory for elliptic problems with measure data, Ann. Scu. Norm. Sup. Pisa Cl. Sci (V) 6 (2007) 195-261

[P38] J. Kristensen, G. Mingione: The singular set of Lipschitzian minima of multiple integrals, Arch. Rational Mech. Anal. 184 (2007) 341-369

[P37] E. Acerbi, G. Mingione: Gradient estimates for a class of parabolic systems, Duke Math. J. 136 (2007) 285-320

[P36] J. J. Manfredi, G. Mingione: Regularity results for quasilinear elliptic equations in the Heisenberg group, Mathematische Annalen 339 (2007) 485- 544

[P35] F. Duzaar, J. Kristensen, G. Mingione: The existence of regular bound- ary points for non-linear elliptic systems, J. reine angew. Math. (Crelle J.) 602 (2007) 17-58

[P34] J. Kristensen, G. Mingione: The singular set of minima of integral functionals, Arch. Rational Mech. Anal. 180 (2006) 331-398 GIUSEPPE MINGIONE, CV 13

[P33] E. Acerbi, I. Fonseca, G. Mingione: Existence and Regularity for Mix- tures of Micromagnetic Materials, Proc. Royal Soc. Lond. Ser. A, 462 (2006) 2225-2243

[P32] L. Esposito, G. Mingione, C. Trombetti: On the Lipschitz regularity for certain elliptic problems, Forum Mathematicum 18 (2006) 263-292

[P31] F. Duzaar, G. Mingione: Second order Parabolic systems, optimal regularity, and singular sets of solutions, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 22 (2005) 705-751

[P30] E. Acerbi, G. Mingione: Gradient estimates for the p(x)-Laplacean system, J. reine angew. Math. (Crelle J.) 584 (2005) 117-148

[P29] J. Kristensen, G. Mingione: The singular set of ω-minima, Arch. Rational Mech. Anal. 177 (2005) 93-114

[P28] G. Mingione, D. Mucci: Integral functionals and the gap problem: sharp bounds for relaxation and energy concentration, SIAM J. Mathe- matical Analysis 36 (2005) 1540-1579

[P27] F. Duzaar, A. Gastel, G. Mingione: Elliptic systems, singular sets and Dini continuity, Comm. Partial Differential Equations 29 (2004) 1215-1240

[P26] F. Duzaar, G. Mingione: Regularity of degenerate elliptic problems via p-harmonic approximation, Ann. Inst. H. Poincar´eAnal. Non Lin`eaire 21 (2004) 735-766

[P25] I. Fonseca, J. Mal´y,G. Mingione: Scalar minimizers with fractal singular sets, Arch. Rational Mech. Anal. 172 (2004) 295-312

[P24] F. Duzaar, G. Mingione: The p-harmonic approximation and the reg- ularity of p-harmonic maps, Calc. Var. & PDE 20 (2004) 235-256

[P23] E. Acerbi, G. Mingione, G.A. Seregin: Regularity results for parabolic systems related to a class on Non-Newtonian fluids, Ann. Inst. H. Poincar´e Anal. Non Lin`eaire 21 (2004) 25-60

[P22] L. Esposito, F. Leonetti, G. Mingione: Sharp regularity for functionals with (p, q) growth, J. Differential Equations 204 (2004) 5-55

[P21] G. Mingione: Bounds for the singular set of solutions to nonlinear elliptic systems, Calc. Var. & PDE 18 (2003) 373-400

[P20] G. Mingione: The singular set of solutions to non-differentiable ellip- tic systems, Arch. Rational Mech. Anal. 166 (2003) 287-301

[P19] E. Acerbi, G. Mingione: Regularity results for stationary electro- rheological fluids, Arch. Rational Mech. Anal. 164 (2002) 213-259

[P18] L. Esposito, F. Leonetti, G. Mingione: Regularity for minimizers of irregular integrals with (p, q)-growth, Forum Mathematicum 14 (2002) 245- 272

[P17] L. Esposito, G. Mingione: Relaxation results for higher order integrals below the natural growth exponent, Differential Integral Equations 15 (2002) 671-696 14 GIUSEPPE MINGIONE, CV

[P16] E. Acerbi, G. Mingione: Regularity results for a class of quasiconvex functionals with nonstandard growth, Ann. Scu. Norm. Sup. Pisa Cl. Sci. (IV), 30 (2001), 311-339

[P15] M. Bildhauer, M. Fuchs, G. Mingione: A priori gradient bounds and local C1,α regularity for solutions to (double) obstacle problems under nonstandard growth conditions, Z. Anal. Anwendungen, 20 (2001), 959-985

[P14] N. Fusco , G. Mingione, C. Trombetti : Regularity of minimizers for a class of anisotropic free discontinuity problems, Journal of Convex Analysis 8 (2001) 349-368

[P13] L. Esposito, G. Mingione: Partial regularity for minimizers of degen- erate polyconvex energies, Journal of Convex Analysis 8 (2001) 1-38

[P12] E. Acerbi, G. Mingione: Regularity results for a class of functionals with nonstandard growth, Arch. Rational Mech. Anal. 156 (2001) 121-140

[P11] M. Fuchs, G. Mingione: Full C1,α regularity for free and constrained lo- cal minimizers of elliptic variational integrals with nearly linear growth, manuscripta mathematica 102 (2000) 227-250

[P10] L. Esposito, G. Mingione: Partial regularity for minimizers of convex integrals with L log L−growth, Nonlinear Diff. Equ. Appl. 7 (2000) 107-125

[P9] G. Mingione, F. Siepe: Full C1,α-regularity for minimizers of integral functionals with L log L- growth, Z. Anal. Anwendungen 18 (1999) 1083-1100

[P8] A. Coscia, G. Mingione : H¨oldercontinuity of the gradient of p(x)- harmonic mappings, C. R. Acad. Sci. Paris Ser. I 328 (1999) 363-368

[P7] L. Esposito, F. Leonetti, G. Mingione: Higher integrability for minimizers of integral functionals with (p, q) growth, J. Differential Equations 157 (1999) 414-438

[P6] L. Esposito, F. Leonetti, G. Mingione: Regularity for minimizers of func- tionals with p − q growth, Nonlinear Diff. Equ. Appl. 6 (1999) 133-148

[P5] L. Esposito, G. Mingione, B.Stroffolini: On the continuity of the solutions of the singular equation 4u = (β(u))t, Nonlinear Analysis TMA, 36 (1999), 1037-1049

[P4] L. Esposito, G. Mingione: Some remarks on the regularity of weak solutions of degenarate elliptic systems, Rev. Mat. Complutense 11 (1998) 203-219

[P3] M. Carozza, G. Mingione: Partial regularity of minimizers of quasicon- vex integrals with subquadratic growth: the general case, Ann. Polonici Math. 77 (2001) 219-243

[P2] M. Carozza, N. Fusco, G. Mingione: Partial regularity of minimizers of quasiconvex integrals with subquadratic growth, Ann. Mat. Pura Appl. 175 (1998) 141-164

[P1] L. Esposito, G. Mingione: A regularity theorem for ω−minimizers of integral functionals, Rend Mat. e Appl., serie (VII) 19 (1999), 17-44 GIUSEPPE MINGIONE, CV 15

Survey papers, lecture notes

[S14] B. Dacorogna, I. Fonseca, G. Mingione: The various stages of Nicola Fusco, Nonlinear Analysis (special issue for Nicola Fusco), to appear

[S13] G. Mingione: Recent progresses in nonlinear potential theory, Pro- ceedings of the 7ECM, Berlin, 2016, to appear

[S12] T. Kuusi, G. Mingione: Nonlinear potential theory of elliptic systems, Nonlinear Analysis TMA, Nonlinear Analysis 138 (2016) 277-299 (special issue for Juan Luis V´azquezSuarez)

[S11] G. Mingione: Recent advances in nonlinear potential theory, in ”Trends in Contemporary Mathematics”, Springer-Indam Series 8 (2014) 277-292

[S10] G. Mingione: La teoria di Calder´on-Zygmund dal caso lineare a quello non lineare, Bollettino dell’Unione Matematica Italiana (Ser. IX) 6 (2013), 269- 297

[S9] T. Kuusi, G. Mingione: Pointwise gradient estimates, Nonlinear Analysis TMA 75 (2012) 4650-4663

[S8] J. Kristensen, G. Mingione: Sketches of regularity theory from the 20th century and the work of Jindrich Neˇcas, to appear in Jindrich Necˇcas’col- lected works volume

[S7] G. Mingione: Sketches of nonlinear Calder´on-Zygmund theory, Pro- ceedings of NAFSA9, Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 105–144

[S6] G. Mingione: Nonlinear aspects of Calder´on-Zygmund theory, Jahres- bereicht der Deutchen Volkes 112 (2010) 159–191

[S5] G. Mingione: Boundary regularity for vectorial problems, Amer. Math. Soc. Trans. (Ser. 2) 229 (2010) 173–195.

[S4] G. Mingione: Towards a non-linear Calder´on-Zygmund theory, Quaderni di Matematica 23 (2009) 371–458.

[S3] F. Duzaar, G. Mingione: Harmonic type approximation lemmas, J. Math. Anal. Appl. 352 (2009) 301-335.

[S2] G. Mingione: Singularities of minima: a walk on the wild side of the Calculus of Variations, J. Global Optimization 40 (2008) 209–223

[S1] G. Mingione: Regularity of minima: an invitation to the Dark Side of the Calculus of Variations, Applications of Mathematics 51 (2006) 355-426

Research announcements and reports

[A16] T. Kuusi, G. Mingione, Y. Sire: A fractional Gehring lemma, with ap- plications to nonlocal equations, Rendiconti Lincei - Matematica e Applicazioni 25 (2014) 345-358

[A15] T. Kuusi, G. Mingione: Recent developments in nonlinear potential theory, Oberwolfach reports 10 16 GIUSEPPE MINGIONE, CV

[A14] G. Mingione: Update on nonlinear potential theory, Oberwolfach reports 10 (2013) 458-461

[A13] G. Mingione: The role of Wolff potentials in the analysis of degener- ate parabolic equations, Oberwolfach reports 8 (2011) 2177-2179

[A12] T. Kuusi, G. Mingione: A surprising linear type estimate for nonlinear elliptic equations, C. R. Acad. Sci. Paris Ser. I 349 (2011), 889–892

[A11] T. Kuusi, G. Mingione: Nonlinear potential estimates in parabolic problems, Rendiconti Lincei - Matematica e Applicazioni 22 (2011), 161-174

[A10] T. Kuusi, G. Mingione: Endpoint and intermediate potential estimates for nonlinear equations, Boll. Un. Mat. It. (IX) 4 (2011) 149-157

[A9] F. Duzaar, G. Mingione: Gradient estimates in non-linear potential theory, Rendiconti Lincei - Matematica e Applicazioni 20 (2009) 179-190

[A8] J. Kristensen, G. Mingione: Boundary regularity of minima, Rendiconti Lincei - Matematica e Applicazioni 19 (2008) 265-277

[A7] G. Mingione, A. Zatorska-Goldstein, X. Zhong: On the regularity of p- harmonic functions in the Heisenberg Group, Boll. Un. Mat. It. (IX) 1 (2008) 243-253

[A6] G. Mingione: Calder´on-Zygmund estimates for measure data prob- lems, C. R. Acad. Sci. Paris Ser. I 344 (2007) 437–442

[A5] J. Kristensen, G. Mingione: Non-differentiable functionals and singular sets of minima, C. R. Acad. Sci. Paris Ser. I 340 (2005) 93-98

[A4] J. M´alek,G. Mingione, J. Star´a: Fluids with pressure dependent viscos- ity: partial regularity of steady flows. EQUADIFF 2003, 380-385, World Sci. Publ., Hackensack, NJ, 2005.

[A3] E. Acerbi, G. Mingione: Regularity results for electrorheological fluids: the stationary case, C. R. Acad. Sci. Paris Ser. I 334 (2002) 817-822

[A2] L. Esposito, F. Leonetti, G. Mingione: Higher differentiability for mini- mizers of irregular integrals, Nonlinear Analysis TMA 47 (2001) 4355-4364

[A1] E. Acerbi, G. Mingione: Functionals with p(x)-growth and regularity, Rend. Mat. Acc. Lincei (serie 9) 11 (2000) 169-174

G. Mingione: Dipartimento di Matematica dell’ Universita` di Parma, Viale Usberti 53/a, E-Mail: [email protected]