Variational And Hemivariational Inequalities - Theory, Methods And Applications Volume Ii

This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.

Writing for researchers and practitioners in mathematics and mechanics, a team of authors from the French Universities of La Reunion and Perpignan describe the application of nonlinear analysis to variational and hemivariational inequality problems. The relevance of the theory to concrete applications of unilateral mechanics is also presented. Topological and "minimax" methods are presented. The theory is primarily presented in the first volume, while the second volume is devoted to the solutions to elliptic unilateral, parabolic unilateral, hyperbolic unilateral, unilateral dynamic, and unilateral eigenvalue problems. Annotation ©2003 Book News, Inc., Portland, OR