Geometry of PDEs and Related Problems Cetraro, Italy 2017

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlyi

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Xavier Cabré · Antoine Henrot   Daniel Peralta-Salas · Wolfgang Reichel   Henrik Shahgholian 

Geometry of PDEs and Related Problems Cetraro, Italy 2017 Chiara Bianchini · Antoine Henrot Rolando Magnanini Editors

Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg

More information about this series at http://www.springer.com/series/304

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Xavier Cabré • Antoine Henrot • Daniel Peralta-Salas • Wolfgang Reichel • Henrik Shahgholian

Geometry of PDEs and Related Problems Cetraro, Italy 2017 Chiara Bianchini, Antoine Henrot, Rolando Magnanini Editors

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Authors Xavier Cabré Departament de Matem`atiques ICREA and Universitat Polit`ecnica de Catalunya Barcelona, Spain

Daniel Peralta-Salas Consejo Superior de Investigaciones Científicas Instituto de Ciencias Matemáticas Madrid, Spain

Antoine Henrot Institut Elie Cartan – Faculté des Sciences et Technologies Université de Lorraine Vandoeuvre-les-Nancy, France Wolfgang Reichel Institute for Analysis, Department of Mathematics Karlsruhe Institute of Technology Karlsruhe, Germany

Henrik Shahgholian Department of Mathematics The Royal Institute of Technology Stockholm, Sweden Editors Chiara Bianchini Dipt di Matematica e Informatica Ulisse Dini Universit`a degli Studi di Firenze Firenze, Italy

Antoine Henrot Institut Elie Cartan – Faculté des Sciences et Technologies Université de Lorraine Vandoeuvre-les-Nancy, France

Rolando Magnanini Dipt di Matematica e Informatica Ulisse Dini Universit`a degli Studi di Firenze Firenze, Italy

ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-95185-0 ISBN 978-3-319-95186-7 (eBook) https://doi.org/10.1007/978-3-319-95186-7 Library of Congress Control Number: 2018953697 Mathematics Subject Classification (2010): Primary 35Jxx; Secondary 35B06, 35B10, 35B44, 35J20, 35P15, 35P30, 35G15, 35N25, 35R01, 35R11, 35R35, 35R37, 35Q79, 35Q91, 35Q92, 58J32. © Springer Nature Switzerland AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors, and the editors are safe to assume that the advice and