Synopses & Reviews
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 those of modern nonlinear analysis. Accessible to graduate students and researchers who work in nonlinear analysis, nonlinear partial differential equations, and additional research disciplines that use nonlinear mathematics.
Synopsis
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.
Synopsis
This book presents an up-to-date and unified treatment of global bifurcation theory for variational inequalities in reflexive spaces and the use of the theory in a variety of applications. These include 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.
Description
Includes bibliographical references (p. [239]-245) and index.
Table of Contents
Contents: Introduction.- Some Auxiliary results.- Variational inequalities defined on convex sets in Hilbert spaces: Homogenization procedures.- Degree calculations - The Hilbert Space case.- Bifurcation from infinity in Hilbert spaces.- Bifurcation in Banach spaces.- Bifurcation from infinity in Banach spaces.- Bibliography.- Index.