Variational and Hemivariational Inequalities Theory, Methods and Applications: Volume I: Unilateral Analysis and Unilateral Mechanics

✍ Scribed by D. Goeleven, D. Motreanu, Y. Dumont, M. Rochdi (auth.)

• Publisher: Springer US
• Year: 2003
• Tongue: English
• Leaves: 417
• Series: Nonconvex Optimization and Its Applications 69
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
Unilateral Analysis....Pages 1-110
Unilateral Mechanics....Pages 111-205
Fundamental Existence Theory of Inequality Problems....Pages 207-279
Minimax Methods for Inequality Problems....Pages 281-333
Topological Methods for Inequality Problems....Pages 335-363
Back Matter....Pages 365-410

✦ Subjects

Calculus of Variations and Optimal Control; Optimization; Partial Differential Equations; Optimization; Applications of Mathematics; Ordinary Differential Equations