Variational Methods in Nonlinear Field Equations Solitary Waves, Hyl
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and so
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Vieri Benci Donato Fortunato
Variational Methods in Nonlinear Field Equations Solitary Waves, Hylomorphic Solitons and Vortices
Springer Monographs in Mathematics
More information about this series at http://www.springer.com/series/3733
Vieri Benci • Donato Fortunato
Variational Methods in Nonlinear Field Equations Solitary Waves, Hylomorphic Solitons and Vortices
123
Vieri Benci Dip. di Matematica UniversitJa degli Studi di Pisa Pisa Italy
Donato Fortunato Dip. di Matematica UniversitJa degli Studi di Bari “Aldo Moro” Bari Italy
ISSN 1439-7382 ISSN 2196-9922 (electronic) ISBN 978-3-319-06913-5 ISBN 978-3-319-06914-2 (eBook) DOI 10.1007/978-3-319-06914-2 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014953275 © Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To the memory of our parents
Preface
The aim of this book is twofold. (i) We want to present the mathematical structure of some fundamental principles of Physics and to show how these principles lead to the existence of a particular kind of solitons called hylomorphic solitons. Moreover, we analyse some qualitative properties of them in the light of these principles. (ii) We want to present the mathemat
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