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Index theory in nonlinear analysis

  • Chungen┬áLiu
Book

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Chungen Liu
    Pages 1-21
  3. Chungen Liu
    Pages 23-34
  4. Chungen Liu
    Pages 35-54
  5. Chungen Liu
    Pages 55-94
  6. Chungen Liu
    Pages 95-159
  7. Chungen Liu
    Pages 161-176
  8. Chungen Liu
    Pages 219-251
  9. Chungen Liu
    Pages 253-273
  10. Back Matter
    Pages 319-333

About this book

Introduction

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.

Keywords

Maslov type index Morse index P-index L-index nonlinear Hamiltonian systems existence and multiplicity of solutions of wave equations Lagrangian paths

Authors and affiliations

  • Chungen┬áLiu
    • 1
  1. 1.School of Mathematical and Information ScienceGuangzhou UniversityGuangzhouChina

Bibliographic information

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