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NONLINEAR ANALYSIS an International Mathematical Journal

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NONLINEAR ANALYSIS An International Mathematical Journal AUTHOR INFORMATION PACK TABLE OF CONTENTS XXX . • Description p.1 • Audience p.1 • Impact Factor p.1 • Abstracting and Indexing p.2 • Editorial Board p.2 • Guide for Authors p.5 ISSN: 0362-546X DESCRIPTION . Nonlinear Analysis aims at publishing high quality research papers broadly related to the analysis of partial differential equations and their applications. Emphasis is placed on papers establishing and nourishing connections with related fields, like geometric analysis and mathematical physics. Submissions are encouraged in the areas of expertise of the editorial board, although not limited to them, especially so if highlighting new connections and directions of research. Benefits to authors We also provide many author benefits, such as free PDFs, a liberal copyright policy, special discounts on Elsevier publications and much more. Please click here for more information on our author services. Please see our Guide for Authors for information on article submission. If you require any further information or help, please visit our Support Center AUDIENCE . Mathematicians and Statisticians actively researching applying nonlinear science. IMPACT FACTOR . 2020: 2.064 © Clarivate Analytics Journal Citation Reports 2021 AUTHOR INFORMATION PACK 28 Sep 2021 www.elsevier.com/locate/na 1 ABSTRACTING AND INDEXING . SSSA/CISA/ECA/ISMEC Applied Mechanics Reviews Cambridge Scientific Abstracts INSPEC Mathematical Reviews Pascal Francis Zentralblatt MATH Scopus COMPENDEX Science Citation Index Web of Science Web of Science Current Contents Current Contents - Physical, Chemical & Earth Sciences EDITORIAL BOARD . Editors-in-Chief Enrico Valdinoci, The University of Western Australia Department of Mathematics and Statistics, 35 Stirling Hwy, Perth, WA 6009, Australia Expertise - Partial differential equations, Calculus of variations, Regularity theory, Dynamical systems Francesco Maggi, The University of Texas at Austin, 78712-1139, Austin, Texas, United States of America Expertise - Calculus of Variations, Geometric Measure Theory, Geometric and Functional Inequalities, Variational Models in Continuum Mechanics, Regularity Theory for Elliptic and Parabolic PDEs Editorial Board Giovanni Alberti, University of Pisa Department of Mathematics, Pisa, Italy Expertise - Geometric Measure Theory, Calculus of Variations, Real Analysis, Transport Equations Henri Berestycki, Graduate School of Social Science, Paris, France Expertise - Elliptic and parabolic PDE, Modeling in ecology and biology, Modeling in social sciences, Nonlinear partial differential equations, Reaction-diffusion equations Jacob Bernstein, Johns Hopkins University, Baltimore, Maryland, United States of America Expertise - Geometric Analysis, Geometric Flows, Minimal Surfaces, Calculus of Variations Lia Bronsard, McMaster University, Hamilton, Ontario, Canada Expertise - Calculus of Variations, Liquid Crystals, Nonlinear PDE, Singular Perturbations nonlocal energy, Superconductivity Alessandro Carlotto, ETH Zurich, Zurich, Switzerland Expertise - Differential Geometry, Mathematical General Relativity, Morse-theoretic Aspects of Partial Differential Equations Maria Colombo, Federal Polytechnic School of Lausanne Institute of Mathematics, Lausanne, Switzerland Expertise - Calculus of Variations, Transport equations, Elliptic partial differential equations, Fluid equations Juan Diego Dávila, University of Bath, Bath, United Kingdom Expertise - Elliptic equations, Nonlinear partial differential equations, Nonlocal operators, Singular perturbations, Singularity formation Tarek Elgindi, Duke University, Durham, North Carolina, United States of America Expertise - Nonlinear PDE, Fluid Equations, Singularity Formation Alberto Enciso, Mathematical Sciences Institute, Madrid, Spain Expertise - Partial Differential Equations, Fluid Mechanics, Spectral Theory, Approximation Theorems Franco Flandoli, SNS University, Pisa, Italy Expertise - Stochastic ordinary and partial differential equations, Stochastic models in fluid dynamics, Random dynamical systems, Macroscopic limits of particle systems Yan Guo, Brown University, Providence, Rhode Island, United States of America Expertise - Boundary effects, Fluid mechanic, Kinetic theory, Partial differential equations, Stability theory Alexander Kiselev, Duke University, Durham, North Carolina, United States of America Expertise - Mathematical Fluid Mechanics, Chemotaxis, Reaction-Diffusion Equations, Spectral Theory Jan Kristensen, University of Oxford, Oxford, United Kingdom Expertise - Calculus of Variations, Elliptic Systems, Sobolev Maps and Maps of Bounded Variation AUTHOR INFORMATION PACK 28 Sep 2021 www.elsevier.com/locate/na 2 Eugenia Malinnikova, Stanford University, Stanford, California, United States of America Expertise - Elliptic PDE, Harmonic analysis, Laplace eigenfunctions, Potential theory, Time-frequency analysis Petru Mironescu, University Claude Bernard Lyon 1, Lyon Cedex, France Expertise - Functions Theory and Function Spaces, Elliptic Partial Differential Equations, Variational Methods Andrea Mondino, University of Oxford, Oxford, United Kingdom Expertise - Geometric Analysis, Partial Differential Equations in Analysis and Geometry, Optimal Transport, Ricci Curvature, Metric Measure Spaces Connor Mooney, University of California Irvine, Irvine, California, United States of America Expertise - Nonlinear Elliptic Equations, Calculus of Variations, Regularity Theory Benedetto Piccoli, Rutgers University, Piscataway, United States of America Expertise - Applied Mathematics, Conservation Laws, Control theory, Modeling of vehicular traffic, Network flow, Systems biology Gustavo Ponce, University of California Santa Barbara, Santa Barbara, California, United States of America Expertise - Nonlinear Partial Differential equations, Harmonic Analysis Fabio Pusateri, University of Toronto Department of Mathematics, Toronto, Ontario, Canada Expertise - PDE, Fluid dynamics, Harmonic Analysis Xavier Ros-Oton, University of Zurich, Zurich, Switzerland Expertise - Elliptic PDE, Free Boundary Problems, Integro-Differential Equations Angkana Rüland, Heidelberg University, Heidelberg, Germany Local and nonlocal elliptic partial differential equations, Inverse problems, Calculus of variations Natasa Sesum, Rutgers University New Brunswick, New Brunswick, New Jersey, United States of America Expertise, Geometric analysis, Geometric flows, Nonlinear partial differential equations Dejan Slepčev, Carnegie Mellon University Department of Computer Science, Pittsburgh, Pennsylvania, United States of America Expertise - Energy-driven Systems, Optimal Transportation, Gradient Flows, Analysis in Machine Learning Alfonso Sorrentino, University of Rome Tor Vergata Department of Mathematics, Roma, Italy Expertise - Hamiltonian Dynamics, Aubry-Mather Theory,Weak KAM theory, Mathematical Billiards, Symplectic Geometry Alexis Vasseur, The University of Texas at Austin, Austin, Texas, United States of America Expertise - Partial Differential Equations applied to Fluid Mechanics, Nonlocal operators, Conservation Laws, and Kinetic Theory Tobias Weth, Goethe University Frankfurt, Frankfurt am Main, Germany Expertise - Nonlinear Elliptic Equations, Variational and Topological Methods, Nonlocal Operators and Boundary Value Problems Yao Yao, Georgia Institute of Technology School of Mathematics, Atlanta, Georgia, United States of America Fluid equations, PDEs in math biology, Nonlocal equations Special Issue Editors Recent developments in Free Boundary Problems Donatella Danielli, Purdue University, West Lafayette, Indiana, United States of America Daniela De Silva, Columbia University, New York, New York, United States of America Harmonic Analysis, Dispersive and Wave Equations Yvan Martel, Laurent Schwartz Centre for Mathematics at the Ecole Polytechnique, Palaiseau, France Claudio Muñoz, University of Chile, Santiago de Chile, Chile Gustavo Ponce, University of California Santa Barbara, Santa Barbara, California, United States of America Expertise - Nonlinear Partial Differential equations, Harmonic Analysis Variational Models for Discrete Systems Andrea Braides, University of Rome Tor Vergata, Roma, Italy Ulisse Stefanelli, University of Vienna, Vienna, Austria Founding and Honorary Editor V. Lakshmikantham† Honorary Editors Shair Ahmad Antonio Ambrosetti Haim Brezis Felix Browder† Siegfried Carl AUTHOR INFORMATION PACK 28 Sep 2021 www.elsevier.com/locate/na 3 Kung Ching Chang David George Kendall† Ermanno Lanconelli Srinivasa Leela Gury Ivanovich Marchuk† Jean Mawhin Robert M. May Enzo Luigi Mitidieri Louis Nirenberg† Paul Rabinowitz Editorial Assistant Usha Tenali Publisher Darren Sugrue AUTHOR INFORMATION PACK 28 Sep 2021 www.elsevier.com/locate/na 4 GUIDE FOR AUTHORS . Your Paper Your Way We now differentiate between the requirements for new and revised submissions. You may choose to submit your manuscript as a single Word or PDF file to be used in the refereeing process. Only when your paper is at the revision stage, will you be requested to put your paper in to a 'correct format' for acceptance and provide the items required for the publication of your article. To find out more, please visit the Preparation section below. INTRODUCTION Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear
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    Ennio De Giorgi Selected Papers Ennio De Giorgi (Courtesy of Foto Frassi, Pisa) Ennio De Giorgi Selected Papers Published with the support of Unione Matematica Italiana and Scuola Normale Superiore ABC Editors Luigi Ambrosio Mario Miranda SNS, Pisa, Italy University of Trento, Italy Gianni Dal Maso Sergio Spagnolo SISSA, Trieste, Italy University of Pisa, Italy Marco Forti University of Pisa, Italy Library of Congress Control Number: 2005930439 ISBN-10 3-540-26169-9 Springer Berlin Heidelberg New York ISBN-13 978-3-540-26169-8 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is con- cerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, re- production on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965,in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2006 Printed in The Netherlands The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: by the editors and TechBooks using a Springer LATEX macro package Cover design: Erich Kirchner, Heidelberg Printed on acid-free paper SPIN: 11372011 41/TechBooks 543210 Preface The project of publishing some selected papers by Ennio De Giorgi was under- taken by the Scuola Normale Superiore and the Unione Matematica Italiana in 2000.