Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

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​.