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An Introduction to Nonlinear Functional Analysis and Elliptic Problems

This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be ...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ambrosetti, Antonio (Autor), Arcoya Álvarez, David (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Progress in Nonlinear Differential Equations and Their Applications, 82
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Notation
  • Preliminaries
  • Some Fixed Point Theorems
  • Local and Global Inversion Theorems
  • Leray-Schauder Topological Degree
  • An Outline of Critical Points
  • Bifurcation Theory
  • Elliptic Problems and Functional Analysis
  • Problems with A Priori Bounds
  • Asymptotically Linear Problems
  • Asymmetric Nonlinearities
  • Superlinear Problems
  • Quasilinear Problems
  • Stationary States of Evolution Equations
  • Appendix A Sobolev Spaces
  • Exercises
  • Index
  • Bibliography.