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Nonlinear Analysis - Theory and Methods

  • Nikolaos S. Papageorgiou
  • Vicenţiu D. Rădulescu
  • Dušan D. Repovš

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 1-69
  3. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 71-165
  4. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 167-262
  5. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 263-360
  6. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 361-456
  7. Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
    Pages 457-555
  8. Back Matter
    Pages 557-577

About this book

Introduction

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 topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.

Keywords

35-02, 49-02, 58-02 35A15, 35A16, 35J25, 35J60, 58E05 Sobolev space topological degree variational principle Morse theory nonlinear elliptic equation boundary value problem critical point theory critical groups

Authors and affiliations

  1. 1.Department of MathematicsNational Technical UniversityAthensGreece
  2. 2.Institute of Mathematics, Physics and MechanicsLjubljanaSlovenia
  3. 3.Faculty of Education, Faculty of Mathematics and PhysicsUniversity of LjubljanaLjubljanaSlovenia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-03430-6
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-03429-0
  • Online ISBN 978-3-030-03430-6
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • Buy this book on publisher's site
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