Global Bifurcation in Variational Inequalities
Applications to Obstacle and Unilateral Problems

Authors: Vy Khoi Le, Klaus Schmitt



Bifurcation Problems for Variational Inequalities presents an up-to-date and unified treatment of bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications, such as: obstacle problems from elasticity theory, unilateral problems; torsion problems; equations from fluid mechanics and quasilinear elliptic partial differential equations. The tools employed are the tools of modern nonlinear analysis. This book is accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations, and additional research disciplines that use nonlinear mathematics.

Table of contents

Front Matter
Pages i-xiv

Introduction
Pages 1-15

Some Auxiliary Results
Pages 17-22

Bifurcation in Hilbert Spaces
Pages 23-38

Degree Calculations — The Hilbert Space Case
Pages 39-77

Bifurcation from Infinity in Hilbert Spaces
Pages 79-102

Bifurcation in Banach Spaces
Pages 103-205

Bifurcation from Infinity in Banach Spaces
Pages 207-238

Back Matter
Pages 239-252