GIUSEPPE MINGIONE, CV

• Giuseppe Mingione, born in 1972 in Caserta (Italy), Italian citizen; lives in Parma, Italy • Professor of Mathematics (Professore Ordinario) at the since 2006; Formerly: research associate (1996-2000) and associate professor (2001-2005) at the University of Parma • Degree (1994) and Ph.D. (1999) in Mathematics, University of Naples Fed- erico II

1. Distinctions • Commander, Order of the Merit of the Italian Republic, 2017 • Amerio Prize 2016 • Invited speaker, 7th European Congress of Mathematics, Berlin, 2016 • Nachdiplom-Vorlesungen, ETH Z¨urich, 2015 • Highly Cited Researcher in Mathematics since 2014, Thomson Reuters- Clarivate Analytics (six editions) • 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 • Von Staudt Chair, University of Erlangen-Nuremberg, 2004

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

3. Editorial boards • Progress in Nonlinear Diff. Equations Appl., Birkh¨auserVerlag (2018-) • 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)

4. Bibliometrics • Highly Cited Researcher in Mathematics since 2014, Thomson Reuters- Clarivate Analytics (six editions) • H-Index = 45 (Scopus) • More than 5000 citations on Mathscinet 1 2 GIUSEPPE MINGIONE, CV

5. Events (main Organizer) • Quasilinear PDEs and game theory - Uppsala Universitet, 12/13 • Mittag-Leffer intensive period “Evolutionary problems”, Stockholm, Fall 13 • Fifth Australia-Italy-Taiwan trilateral meeting, Wollongong, 12/12 • New trends in nonlinear parabolic equations - Parma, 11/12 • Two days on nonlocal operators and applications - Parma, 10/12 • Topics in calculus of variations and applications - Parma, 10/12 • Nonlinear problems in PDEs - Parma, Spring 2010 • Intensive research month on hyperbolic conservation laws and fluid dynam- ics - Parma, 02/2010 • Regularity for nonlinear PDES - DeGiorgi center, Scuola Normale Superi- ore, Pisa, 09/2009 • 6th European conference on elliptic and parabolic problems - Gaeta (Italy), 05/2009 • Conference “Trends in the calculus of variations”, Parma, 09/2004

6. Visiting research appointments • Universit¨atAugsburg (18) • The University of Chicago (17) • The Fields Institute for Mathematical Research, Toronto (16) • The University of Texas at Austin (13,14) • University of Uppsala (11) • Seoul National University (11,18) • Australian National University, Canberra (10,12) • Columbia University, New York (12,18) • Centro De Giorgi & Scuola Normale Superiore, Pisa (09,12,14,17) • Czech Academy of Sciences, Prague (09) • University of Jyiv¨askyl¨a(08, 18) • Aalto University of Technology of Helsinki (07,08,10,11,13,14,16) • University of Warsaw (07) • Humboldt Universit¨at,Berlin (06) • Dept. of Math. & FIM, ETH, Z¨urich (06,15,17) • University of Pittsburgh (05,12,19) • Institute of Mathematics, Universit¨atErlangen-Nuremberg (04,07,08) • Mathematical Institute, University of Oxford (04,05,07,08,10,11,14,15,18) • Universidad de Sevilla (04) • Universidad Autonoma de Madrid (04,13) • Institute f¨urAngew. Math., University of Bonn (02,12) • Charles University, Prague (02,18) • 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) • Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, Sweden (00,13) • Universit¨atdes Saarlandes, Saarbrucken, Germany (99)

7. Lectures series, summer/winter schools • Ph.D. course, Dept. of Math., University of Pittsburgh, 10/2018 • 28th Jyv¨askyl¨asummer school, University of Jyv¨askyl¨a,08/2018 GIUSEPPE MINGIONE, CV 3

• Korea PDE Winter School #8, National Institute for Mathematical Sci- ences (NIMS), 01/2018 • Graduate course, Scuola Normale Superiore di Pisa, Spring 2017 • 4th Chicago Summer School in Analysis, University of Chicago, 06/2017 • Summer school “Nonlocal and nonlinear diffusions and interactions”, CIME, 07/2016 • Spring school on Nonlocal Problems, Fields Institute, Toronto, 05/2016 • Winter school “PDEs and applications”, University of Naples Federico II, 02/2016 • Advanced courses in Geometric Analysis, CRM, Barcelona, 09/2015 • Summer school on Harmonic Analysis and Partial Differential Equations, BCAM, Bilbao, 07/2015 • Summer school on Harmonic Analysis and Partial Differential Equations, Aalto University, Helsinki, 06/2015 • Nachdiplom-vorlesungen, ETH Z¨urich, 05/2015 • Graduate course, IMPA, Rio de Janeiro, 07/2013 • Graduate course at the Departamento de Matematicas, Universidad Au- tonoma de Madrid, 05/2013 • Summer school “Topics in Nonlinear Parabolic Equations”, Centro De Giorgi, Scuola Normale Superiore, Pisa, 06/2012 • Course at the intensive period “Calculus of Variations, Singular Integrals and Incompressible flows”, Universidad Autonoma de Madrid, 10/2010 • Summer school on “Function spaces and applications NAFSA9”, Czech Academy of Sciences and Charles Univ. Prague, 09/2010 • Winter school “Parabolic and elliptic PDE”, University of Swansea, 01/2010 • Course at the INDAM intensive period “Geometric properties of nonlin- ear local non-local problems”, Politecnico di Milano-, 05/2009 • Summer school “Minicorsi di Analisi Matematica”, University of Padua, 06/2008 • Spring school “Harmonic Analysis and PDE”, Helsinki University of Tech- nology, 06/2008 • Spring school “Topics in nonlinear PDE”, Helsinki University of Technol- ogy, 06/2007 • Spring school “Qualitative Properties of Solutions to Elliptic and Parabolic Equations”, Saariselk¨a,University of Helsinki, 06/2007 • Summer school of the “Studienstiftung des deutschen Volkes - German Na- tional Academic Foundation”, 09/2005 • “Ninth Paseky School in Mathematical Theory in Fluid Mechanics”, Charles University of Prague, Paseky, 06/2005 • Graduate minicourse, Dept. of Math., University of Pittsburgh, 05/2005 • Graduate minicourse, Departamento de Analisi Matematico, Universidad de Sevilla, 02/2004 • Graduate minicourse, Carnegie Mellon University, Pittsburgh, 03/2003

8. Invited talks at conferences • “Euro-Maghreb network conference”, Real Academia de Ciencias, Madrid, 11/2019 • “Local and nonlocal trends in analysis and geometry”, University of Pitts- burgh, 10/2019 • “Regularity aspects of linear growth functionals”, University of Augsburg, 09/2019 4 GIUSEPPE MINGIONE, CV

• “Linear averaging and PDEs”, in honor of J.J. Manfredi, CIRM, 09/2019 • “Geometric aspects of solutions to PDE”, RIMS, Kyoto University, 06/2019 • “Harmonic Analysis and PDE, in honor of V. Maz’ya”, Holon Institute of Technology, Israel, 05/2019 • “The 27th Annual Meeting on Differential Equations and Related Topics”, National Cheng Kung University, Taiwan, 01/2019 • “Workshop on nonlinear partial differential equations”, Columbia Univer- sity, NYC, 12/2018 • “Analysis and PDE 2018”, Leibniz Universit¨atHannover, 10/2018 • “Two nonlinear days in urbino 2018”, University of Urbino, 07/2018 • “Sobolev spaces and PDE, in honor of V. Maz’ya”, Accademia Nazionale dei Lincei, 05/2018 • “Regularity theory for elliptic and parabolic systems and problems in con- tinuum mechanics”, Charles University Prague, 05/2018 • “Giornata Stampacchia”, Sapienza Rome, 03/2018 • “Sub-riemannian geometry, Harmonic analysis, PDE and Applications”, Bologna, 01/2018 • “Non-standard growth phenomena 2017”, University of Turku, 08/2017 • “Recent advances in pdes and Calculus of Variations”, University of War- wick (Venice), 07/2017 • “23th Rolf Nevanlinna Colloquium”, FIM, ETH-Z¨urich, 06/2017 • “Nonlocal PDE and applications”, ICTP, 05/2017 • “Workshop on calculus of variations and nonlinear PDE”, for the 60th birthday of Francesco Leonetti, 11/2016 • “Nonlinear PDE, inequalities and applications”, RISM, 10/2016 • “Lecce conference on Calculus of Variations and PDE”, for the 60th birth- day of Nicola Fusco, 10/2016 • “3rd conference on recent trends in nonlinear phenomena”, 09/2016 • “A Mathematical tribute to ”, Scuola Normale Superiore di Pisa, 09/2016 • 7th European Congress of Mathematics, Berlin, 07/2016 • “3d Conference on nonlocal operators and PDE”, Banach Center, Polish Academy of Sciences, 06/2016 • “Regularity theory for elliptic and parabolic systems and problems in con- tinuum mechanics”, Charles University Prague, 05/2016 • “2nd Conference on Recent Trends in Nonlinear Phenomena”, 11/2015 • “25th Conference on Calculus of Variations and Geometric Measure The- ory”, CIRM, 02/2015 • “Padova 2014 workshop on Calculus of Variations and PDE”, University of Padua, 11/2014 • “Existence and regularity for nonlinear systems of partial differential equa- tions”, Scuola Normale Superiore, Pisa, 07/2014 • “Partial differential equations and stochastic methods”, University of Jy- vaskyla, 06/2014 • “Recent advances in non-local and non-linear analysis: theory and applica- tions”, ETH Z¨urich, 06/2014 • “Regularity theory for elliptic and parabolic systems and problems in con- tinuum mechanics”, Charles University Prague, 05/2014 • “Intensive research week on calculus of variations, geometric analysis & PDE”, University of Sussex, 03/2014 • “Nonlinear Problems with Singular data”, Accademia Nazionale dei Lincei, 11/2013 GIUSEPPE MINGIONE, CV 5

• “New Trends in Calculus of Variations and Partial Differential Equations”, Accademia Pontaniana, Naples, 11/2013 • “Recent Trends in Differential Equations: Analysis and Discretisation Meth- ods”, Technische Universit¨at,Berlin, 11/2013 • “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, 08/2013 • “29th Col´oquioBrasileiro de Matem´atica”,IMPA, Rio de Janeiro, 07/2013 • “Nonlinear elliptic and parabolic partial differential equations”, Politecnico di Milano, 06/2013 • “Calculus of variations and differential equations”, Ecole Polytechnique Su- periore de Lausanne, 06/2013 • “Symposium on nonlinear PDEs”, Norwegian University of Science and Technology, 06/2013 • “The p-Laplacean operator and applications”, Oberwolfach Mathematical Institute, 02/2013 • “Fifth trilateral meeting Australia-Italy-Taiwan”, Wollongong, 12/2012 • “International conference on nonlinear PDE”, Mathematical Institute, Ox- ford, 09/2012 • “Recent Trends in Nonlinear Diffusion”, Centro De Giorgi, Scuola Normale Superiore, Pisa, 07/2012 • “INDAM day”, 06/2012 • “Workshop on Nonlinear Partial Differential Equations”, University of Pe- rugia, 05/2012 • “Fifteen Fabes-Riviere symposium”, University of Minnesota, 04/2012 • “Trends in Mathematical Analysis”, Politecnico di Milano, 03/2012 • “Nonlinear PDEs and Functional Inequalities”, Universidad Autonoma de Madrid, 09/2011 • 19th meeting of the Italian Math. Union, 09/2011 • “PRIMA-PARC-PIMS Meeting on PDEs”, Seoul National University, 08/2011 • “Optimization days”, Ancona, 06/2011 • “Multiscale methods and qualitative properties for differential operators”, in honor of V.V. Zhikov on his 70th birthday, 05/2011 • “21th Conference on Calculus of Variations and Geometric Measure The- ory”, CIRM, 02/2011 • “Geometric and Nonlinear Partial Differential Equations”, The Australian National University, 08/2010 • “Calculus of Variations”, Oberwolfach Mathematical Institute, 07/2010 • “Vector-valued mappings and systems of PDE”, Sapienza Rome, Roma, 05/2010 • “20th Conference on Calculus of Variations and Geometric Measure The- ory”, CIRM, 02/2010 • “ERC: a challenge for Italy”, Scuola Normale Superiore, Pisa, 10/2009 • “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, 08/2009 • “Nonlinear PDE and applications”, University of Catania, 06/2009 • Workshop on Calculus of Variations and PDE, University of Florence, 01/2009 • German Mathematical Society meeting, 09/2008 • “Elliptic and parabolic PDE”, 06/2008 • “Sobolev spaces, PDE and continuity”, Roma, 04/2008 • “Meeting on Geometric measure theory and Calculus of Variations”, CIRM, 02/2008 6 GIUSEPPE MINGIONE, CV

• “Launch meeting for the Oxford science and innovation grant”, Oxford, 10/2007 • “PDE and Geometric function theory”, honoring T. Iwaniec, 10/2007 • “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, 07/2007 • “Geometric Analysis and Nonlinear PDE 2007”, Banach Center, Bedlewo, 06/2007 • “Meeting on Geometric measure theory and Calculus of Variations”, CIRM, 02/2007 • “Geometric Analysis and PDE”, ICM Satellite, 09/2006 • “Calculus of Variations”, Oberwolfach Mathematical Institute, 07/2006 • “Variational Analysis and PDE”, Majorana Center, Erice, 07/2006 • “Analysis and PDE, in honor of B. Bojarski”, Banach Center, Bedlewo (Poland), 06/2006 • “Meeting on Geometric measure theory and Calculus of Variations”, CIRM, 02/2006 • “Week-end di lavoro sul Calcolo delle Variazioni”, University of Florence, 11/2005 • “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, 07/2005 • “Recent Advances in Calculus of Variations and PDE”, Pisa, 03/2005 • “Meeting on Geometric measure theory and Calculus of Variations”, CIRM, 02/2005 • “Equazioni alle derivate parziali”, University of Torino, 10/2003 • “EMS Math. week-ends, Special Session on Calculus of Variations”, Lisbon, 09/2003 • “Partielle Differentialgleichungen”, Oberwolfach Mathematical Institute, 08/2003 • “First AMS-RSME joint conference – Session on PDE Methods in Contin- uum Mechanics”, Seville, 06/2003 • “Seminar on Differential Equations”, Pavlov (Palava region), Czech Repub- lic, 05/2002 • “Meeting on Geometric measure theory and Calculus of Variations, 2002” CIRM, 02/2002 • “Meeting on Geometric measure theory and Calculus of Variations, 2001” CIRM, 03/2001 • “Differential equations and Dynamical systems” (Org. V.V. Zhikov), Suz- dal, Russia, 08/2000 • “Meeting on Geometric measure theory, relaxation and Γ-convergence, 1999”, CIRM, 04/1999 • “Integral inequalities and applications” (Org. B. Franchi, T. Couhlon & C. Sbordone), Cortona, 06/1999 • “Meeting on Geometric measure theory, relaxation and Γ-convergence”, CIRM, 04/1998

9. Colloquia • Tokyo University of Science, 06/2019 • Seminario Matematico e Fisico di Milano (colloquium), 02/2017 • Colloquium, Mathematics Department, Aalto University, Helsinki, 04/2016 • Perlen-Kolloquium, Universit¨atBasel, 03/2015 • Colloquium, Math. Institute, The University of Queensland, 04/2012 • Colloquium, MSI, The Australian National University, 03/2012 GIUSEPPE MINGIONE, CV 7

• Seminario Matematico e Fisico di Milano (colloquium), 05/2010 • Colloquium, Mathematics Department, Aalto University, Helsinki, 03/2010 • Colloquium, Institute of Mathematics, Universit¨atErlangen-N¨urnberg, 08/2007 • Colloquium, Institute of Mathematics, Universit¨atErlangen-N¨urnberg, 04/2004 • Colloquium, Dept. of Math., Albert-Ludwigs University, Freiburg, 05/2001 • Colloquium, Dept. of Math., University of Pittsburgh, Pittsburgh, 09/2000

10. Invited research talks • Seminar, Nihon University, Tokyo, 06/2019 • PDE Real Analysis Seminar, The University of Tokyo, 06/2019 • Analysis seminar, Courant Institute, New York University, 11/2018 • Lunchtime seminar, Mathematical Institute, Oxford, 06/2018 • Seminar, Korea Institute for Advanced Studies, 02/2018 • Research seminar, Seoul National University, 02/2018 • Mathematics seminar, GSSI, 11/2017 • Analysis seminar, FIM, ETH-Z¨urich, 02/2017 • Seminar, Scuola Normale Superiore di Pisa, 02/2017 • Analysis seminar, University of Padua, 09/2016 • Topics in Mathematics seminar, University of Bologna, 10/2015 • PDE seminar, Universidad Politecnica de Catalunya, 09/2015 • Three city seminar Basel-Freiburg-Z¨urich, 04/2015 • Seminarie d’Analyse, Ecole Polytechnique Superiore de Lausanne, 03/2015 • Lunchtime seminar, Mathematical Institute, Oxford, 01/2015 • Analysis seminar, University of Naples Federico II, 01/2015 • Geometric analysis seminar, University of Helsinki, 05/2014 • Geometric analysis & PDE seminar, The University of Cambridge, 03/2014 • OXPDE seminar, Mathematical Institute, Oxford, 03/2014 • Analysis seminar, The University of Texas at Austin, 02/2014 • PDE seminar, Dip. di Mat., University of Rome Tor Vergata, 11/2013 • Mittag Leffler Seminar, Mittag Leffler Institute, The Royal Swedish Acad- emy of Sciences, Djursholm (Stockholm, Sweden), 10/2013 • Seminar, Depart. de Matematicas, Univ. Autonoma de Madrid, 04/2013 • Analysis seminar, The University of Texas at Austin, 02/2013 • PDE & Analysis seminar, University of Pittsburgh, 04/2012 • CNA seminar, Carnegie Mellon University, 04/2012 • PDE & Geometric Analysis seminar, Columbia University, 04/2012 • Pure Math. Seminar, The University of Queensland, 04/2012 • PDE seminar, Math. Institute, The University of Sidney, 04/2012 • PDE & Analysis seminar, MSI, The Australian National University, 03/2012 • SFB seminar, Mathematische Institut der Universit¨atBonn, 01/2012 • Analysis seminar, Politecnico di Bari, 01/2012 • Analysis & Stochastics seminar, University of Uppsala, 11/2011 • Analysis seminar, Seoul National University, 08/2011 • Analysis seminar, University of Warwick, 06/2011 • Geometric Analysis Seminar, University of Helsinki, 03/2010 • PDE seminar, Dept. of Math., Sapienza, Rome, 03/2010 • PDE seminar, Czech Academy of Sciences, Prague, 03/2009 • Analysis seminar, SISSA-ISAS, Trieste, 02/2009 • Calculus of Variations Seminar, Politecnico di Milano, 12/2008 • PDE Seminar, Dept. of Math., University of Z¨urich, 11/2008 • Seminars in Analysis, Dept. of Math., Univ. Jyv¨askyl¨a,04/2008 • Analysis Seminar, Dept. of Math., , 04/2008 8 GIUSEPPE MINGIONE, CV

• General Seminar, Dept. of Math., University of Warsaw, 05/2007 • PDE Seminar, Dept. of Math., University of Warsaw, 05/2007 • Analysis Seminar, Dept. of Math., University of Perugia, 04/2007 • Analysis Seminar, Dept. of Math., University of Catania, 03/2007 • Berliner Oberseminar in Nonlinear PDE, Weierstrass Institute, Berlin, 04/2006 • Analysis Seminar, Dept. of Math., University of Naples Federico II, 03/2006 • Analysis seminar, Dept. of Math., ETH, Z¨urich, 01/2006 • Seminar in Math. Analysis, Dept. of Math., Politecnico di Milano, 10/2005 • CNA Seminar, Carnegie Mellon University, Pittsburgh, 05/2005 • Seminar in Math. Analysis, University of Padua, 02/2005 • Oberseminar ¨uber Angewandte Mathematik, Albert-Ludwigs Universit¨at, Freiburg, 04/2004 • Seminar in Pure and Applied Mathematics, University of Bath, 03/2004 • Applied Analysis and Mechanics Seminar, Mathematical Institute, Univer- sity of Oxford, 03/2004 • Seminario de ecuaciones y matem´aticaaplicada, Universidad Autonoma de Madrid, 02/2004 • Seminar on functional analysis and applications, Instituto Superior Tecnico Lisboa, 09/2003 • Seminar, Dipartimento MMSA, Sapienza Rome, 04/2003 • Seminar, Dept. of Math., University of L’Aquila, 02/2003 • Analysis seminar, Dept. of Math., University of Naples Federico II, 01/2003 • Seminar on Partial Differential Equations, Mathematical Institute, Acad- emy of Sciences of the Czech Republic, Prague, 05/2002 • The Prague Seminar on Function Spaces, Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, 05/2002 • Calculus of Variations and PDE Seminar, University of Florence, 05/2002 • CNA Seminar, Carnegie Mellon University, Pittsburgh, 03/2002 • Tuesday Seminar, Dept. of Math., University of Pisa, Pisa, 10/2001 • Smirnov Seminar on Math. Physics (chaired by O. Ladyzhenskaya and N. Uraltseva), Steklov Math. Institute, St. Petersburg, 07/2001 • Seminar on Math. Analysis, University of L’Aquila, l’Aquila, 06/2001 • Seminario di Calcolo delle Variazioni, Politecnico di Milano, 05/2001 • Mittag Leffler Seminar, Mittag Leffler Institute, The Royal Swedish Acad- emy of Sciences, Djursholm (Stockholm, Sweden), 04/2000 • Seminar, Dept. of Math., University of Salerno, 03/1999 • Seminar, Dept. of Math., University of Salerno, 04/1998 • Seminar, Dept. of Math., University of Bologna, 03/1997 • Seminar, Dept. of Math., University of L’Aquila, 10/1995

11. Public lectures • La Buona Battaglia, Parma, 09/19 • Focus live festival, Milano, 11/18 • Settembre al Borgo festival, Caserta, 09/2018 • Rotary Club 2072, Parma, 03/2018 • Scienza ultima frontiera, Brugherio, 11/2017 • Segnavie (high school level), Fondazione Cariparo, Rovigo, 09/2016 • Segnavie (general), Fondazione Cariparo, Padova, 09/2016 • Tedx, Arezzo, 03/2016 • “La coincidenza De Giorgi-Nash”, University of Chieti-Pescara, 12/2015 • “Qualche storia di matematica per ragazzi”, Univ. della Calabria, 11/2014 GIUSEPPE MINGIONE, CV 9

12. Manuscripts Research papers

[P84] C. De Filippis, G. Mingione: On the regularity of minima of non- autonomous functionals, J. Geom. Anal., to appear

[P83] C. De Filippis, G. Mingione: Manifold constrained non-uniformly el- liptic problems, J. Geom. Anal., to appear

[P82] C. De Filippis, G. Mingione: A borderline case of Calder´on-Zygmund estimates for non-uniformly elliptic problems, St. Petersburg Math. J., to appear

[P81] L. Beck, G. Mingione: Lipschitz bounds and non-uniform ellipticity, Comm. Pure Appl. Math., to appear

[P80] P. Baroni, M. Colombo, G. Mingione: Regularity for general functionals with double phase, Calc. Var. & PDE 57:62 (2018), 48 pages

[P79] B. Avelin, T. Kuusi, G. Mingione: Nonlinear Calder´on-Zygmund theory in the limiting case, Arch. Rational Mech. Anal. 227 (2018) 663-714

[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. 20 (2018) 929-1004

[P75] P. Baroni, M. Colombo, G. Mingione: Harnack inequalities for double phase functionals, Nonlinear Analysis 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) 347-379 (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

[P68] T. Kuusi, G. Mingione: Guide to nonlinear potential estimates, Bull. Math. Sci. 4 (2014) 1-82 10 GIUSEPPE MINGIONE, CV

[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

[P50] F. Duzaar, G. Mingione: Gradient continuity estimates, Calc. Var. & PDE 39 (2010) 379-418 GIUSEPPE MINGIONE, CV 11

[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

[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 12 GIUSEPPE MINGIONE, CV

[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

[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 GIUSEPPE MINGIONE, CV 13

[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

Survey papers, lecture notes, editorials 14 GIUSEPPE MINGIONE, CV

[S16] T. Kuusi, G. Mingione, Y. Sire: Regularity issues involving the frac- tional p-Laplacian – Recent Developments in Nonlocal Theory, Book Series in PDE and Measure Theory, De Gruyter Verlag, 2018, 303–334

[S15] G. Mingione: Short tales from Nonlinear Calder´on-Zygmund theory, Springer LNM 2186, 2017CIME, 159–204

[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 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

Oberwolfach Reports

[O9] G. Mingione: Recent developments in nonlinear potential theory, Ober- wolfach Reports 10 (2013) 2292-2295

[O8] G. Mingione: Update on nonlinear potential theory, Oberwolfach Reports 10 (2013) 458-461 GIUSEPPE MINGIONE, CV 15

[O7] G. Mingione: The role of Wolff potentials in the analysis of degenerate parabolic equations, Oberwolfach Reports 8 (2011) 2177-2179

[O6] G. Mingione: Boundary regularity in variational problems, Oberwolfach Reports 7 (2010) 1837-1840

[O5] G. Mingione: Gradient estimates via nonlinear potentials, Oberwolfach Reports 6 (2009) 2000-2004

[O4] G. Mingione: Calder´on-Zygmund theory around limit cases, Oberwol- fach Reports 4 (2007) 2051-2055

[O3] G. Mingione: Calder´on-Zygmund theory for parabolic systems, Ober- wolfach Reports 3 (2006) 1890-1893

[O2] G. Mingione: Singular sets of vectorial elliptic problems, Oberwolfach Reports 2 (2005) 1875-1877

[O1] G. Mingione: Functionals with a gap: regularity and relaxation, Ober- wolfach report, https : //www.mfo.de/document/0332/Report342003.pdf Research announcements and reports

[A17] L. Beck, G. Mingione: Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems, Rendiconti Lincei - Matematica e Appli- cazioni, to appear.

[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

[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 16 GIUSEPPE MINGIONE, CV

[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 SMFI, Parco Area delle Scienze 53/a, E-Mail: rosari- [email protected]