Nonlinear Second Order Elliptic Equations

This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solu...

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書目詳細資料
Main Authors: Wang, Mingxin (Author), Pang, Peter Y. H. (Author)
企業作者: SpringerLink (Online service)
格式: 電子 電子書
語言:英语
出版: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
版:1st ed. 2024.
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在線閱讀:https://doi.org/10.1007/978-981-99-8692-7
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書本目錄:
  • Preface
  • Preliminaries
  • Eigenvalue problems of second order linear elliptic operators
  • Upper and lower solutions method for single equations
  • Upper and lower solutions method for systems
  • Theory of topological degree in cones and applications
  • Systems with homogeneous Neumann boundary conditions
  • P-Laplace equations and systems
  • Appendix A: Basic results of Sobolev spaces and nonlinear functional analysis
  • Appendix B: Basic theory of elliptic equations
  • References
  • Index.