Advances in Variational and Hemivariational Inequalities Theory, Num
Highlighting recent advances in variational and hemivariational inequalities with an emphasis on theory, numerical analysis and applications, this volume serves as an indispensable resource to graduate students and researchers interested in the latest res
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Weimin Han Stanisław Migórski Mircea Sofonea Editors
Advances in Variational and Hemivariational Inequalities Theory, Numerical Analysis, and Applications
Advances in Mechanics and Mathematics Volume 33
Series Editors: David Y. Gao, Virginia Polytechnic Institute and State University Tudor Ratiu, École Polytechnique Fédérale Advisory Board: Ivar Ekeland, University of British Columbia Tim Healey, Cornell University Kumbakonam Rajagopal, Texas A&M University David J. Steigmann, University of California, Berkeley
More information about this series at http://www.springer.com/series/5613
Weimin Han • Stanisław Migórski • Mircea Sofonea Editors
Advances in Variational and Hemivariational Inequalities Theory, Numerical Analysis, and Applications
123
Editors Weimin Han University of Iowa Iowa City, IA, USA Xi’an Jiaotong University Xi’an, China
Stanisław Migórski Faculty of Mathematics and Computer Science Institute of Computer Science Jagiellonian University Kraków, Poland
Mircea Sofonea Laboratoire de Mathématiques et Physique (LAMPS) Université de Perpignan Via Domitia Perpignan, France
ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISBN 978-3-319-14489-4 ISBN 978-3-319-14490-0 (eBook) DOI 10.1007/978-3-319-14490-0 Library of Congress Control Number: 2015932094 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
The theory of variational inequalities is a relatively young mathematical discipline. One of the bases for its development was the contribution of Fichera [5], who coined the term “Variational Inequality” in his paper on the solution of the frictionless contact problem between a linearly elastic body and a rigid foundation posed by Signorini [15]. The foundations of the mathematica
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