Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

  • Dumitru Motreanu
  • Viorica Venera Motreanu
  • Nikolaos Papageorgiou

Table of contents

  1. Front Matter
    Pages i-xi
  2. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 1-13
  3. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 15-44
  4. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 45-59
  5. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 61-96
  6. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 97-139
  7. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 141-179
  8. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 181-200
  9. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 201-222
  10. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 223-270
  11. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 271-302
  12. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 303-385
  13. Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
    Pages 387-436
  14. Back Matter
    Pages 437-459

About this book

Introduction

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Keywords

Convex function Degree theory Minimization Morse theory Nonlinear operators Sobolev spaces

Authors and affiliations

  • Dumitru Motreanu
    • 1
  • Viorica Venera Motreanu
    • 2
  • Nikolaos Papageorgiou
    • 3
  1. 1.Department of MathematicsUniversity of PerpignanPerpignanFrance
  2. 2.Department of MathematicsBen-Gurion University of the NegevBeer-ShevaIsrael
  3. 3.Department of MathematicsNational Technical University Zografou CampusAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-9323-5
  • Copyright Information Springer Science+Business Media, LLC 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-9322-8
  • Online ISBN 978-1-4614-9323-5
  • About this book