Singular Solutions of the Scalar Field Equation with a Critical Exponent
We consider radially symmetric singular solutions of the scalar field equation with the Sobolev critical exponent. It is shown that there exists a unique special singular solution, and other infinitely many singular solutions are oscillatory around the sp
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Filippo Gazzola Kazuhiro Ishige Carlo Nitsch Paolo Salani Editors
Geometric Properties for Parabolic and Elliptic PDE's GPPEPDEs, Palinuro, Italy, May 2015
Springer Proceedings in Mathematics & Statistics Volume 176
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Filippo Gazzola Kazuhiro Ishige Carlo Nitsch Paolo Salani •
•
Editors
Geometric Properties for Parabolic and Elliptic PDE’s GPPEPDEs, Palinuro, Italy, May 2015
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Editors Filippo Gazzola Dipartimento di Matematica Politecnico di Milano Milan Italy Kazuhiro Ishige Mathematical Institute Tohoku University Sendai Japan
Carlo Nitsch Dipartimento di Matematica e Applicazioni “R. Caccioppoli” Università degli Studi di Napoli Federico II, Monte Sant’Angelo Naples Italy Paolo Salani Dipartimento di Matematica e Informatica “Ulisse Dini” Università degli Studi di Firenze Florence Italy
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-319-41536-9 ISBN 978-3-319-41538-3 (eBook) DOI 10.1007/978-3-319-41538-3 Library of Congress Control Number: 2016945798 Mathematics Subject Classification (2010): 35-02, 35-06, 35Bxx, 49-06 © Springer International Publishing Switzerland 2016 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 information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer impr
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