Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

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 pr...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Motreanu, Dumitru (Author), Motreanu, Viorica Venera (Author), Papageorgiou, Nikolaos (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Subjects:
Differential equations.
Mathematical optimization.
Calculus of variations.
Operator theory.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Equations.
Calculus of Variations and Optimization.
Operator Theory.
Global Analysis and Analysis on Manifolds.
Online Access:Texto Completo
Table of Contents:
  •  Preface
  • Introduction
  • Sobolev Spaces
  • Nonlinear Operators
  • Nonsmooth Analysis
  • Degree Theory
  • Variational Principles and Critical Point Theory
  • Morse Theory
  • Bifurcation Theory
  • Regularity Theorems and Maximum Principles
  • Spectrum of Differential Operators
  • Ordinary Differential Equations
  • Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
  • Nonlinear Elliptic Equations with Neumann Boundary Conditions
  • List of Symbols
  • References.- Index .

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