Nonlinear Analysis - Theory and Methods
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and t
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Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan D. Repovš
Nonlinear Analysis– Theory and Methods
Springer Monographs in Mathematics Editors-in-Chief Isabelle Gallagher, Paris, France Minhyong Kim, Oxford, UK Series Editors Sheldon Axler, San Francisco, USA Mark Braverman, Princeton, USA Maria Chudnovsky, Princeton, USA Tadahisa Funaki, Tokyo, Japan Sinan C. Güntürk, New York, USA Claude Le Bris, Marne la Vallée, France Pascal Massart, Orsay, France Alberto Pinto, Porto, Portugal Gabriella Pinzari, Padova, Italy Ken Ribet, Berkeley, USA René Schilling, Dresden, Germany Panagiotis Souganidis, Chicago, USA Endre Süli, Oxford, UK Shmuel Weinberger, Chicago, USA Boris Zilber, Oxford, UK
This series publishes advanced monographs giving well-written presentations of the “state-of-the-art” in fields of mathematical research that have acquired the maturity needed for such a treatment. They are sufficiently self-contained to be accessible to more than just the intimate specialists of the subject, and sufficiently comprehensive to remain valuable references for many years. Besides the current state of knowledge in its field, an SMM volume should ideally describe its relevance to and interaction with neighbouring fields of mathematics, and give pointers to future directions of research.
More information about this series at http://www.springer.com/series/3733
Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan D. Repovš
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Nonlinear Analysis– Theory and Methods
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Nikolaos S. Papageorgiou Department of Mathematics National Technical University Athens, Greece
Vicenţiu D. Rădulescu Institute of Mathematics, Physics and Mechanics Ljubljana, Slovenia
Institute of Mathematics, Physics and Mechanics Ljubljana, Slovenia
Faculty of Applied Mathematics AGH University of Science and Technology Kraków, Poland
Dušan D. Repovš Faculty of Education, Faculty of Mathematics and Physics University of Ljubljana Ljubljana, Slovenia Institute of Mathematics, Physics and Mechanics Ljubljana, Slovenia
ISSN 1439-7382 ISSN 2196-9922 (electronic) Springer Monographs in Mathematics ISBN 978-3-030-03429-0 ISBN 978-3-030-03430-6 (eBook) https://doi.org/10.1007/978-3-030-03430-6 Library of Congress Control Number: 2018968386 Mathematics Subject Classification (2010): 35-02, 49-02, 58-02 © Springer Nature Switzerland AG 2019 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
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