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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities : Nonconvex Optimization and Its Applications - Dumitru Motreanu

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Nonconvex Optimization and Its Applications

Hardcover

Published: December 2009
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The present book is the first ever published in which a new type of eigenvalue problem is studied, one that is very useful for applications: eigenvalue problems related to hemivariational inequalities, i.e. involving nonsmooth, nonconvex, energy functions. New existence, multiplicity and perturbation results are proved using three different approaches: minimization, minimax methods and (sub)critical point theory. Nonresonant and resonant cases are studied both for static and dynamic problems and several new qualitative properties of the hemivariational inequalities are obtained. Both simple and double eigenvalue problems are studied, as well as those constrained on the sphere and those which are unconstrained. The book is self-contained, is written with the utmost possible clarity and contains highly original results. Applications concerning new stability results for beams, plates and shells with adhesive supports, etc. illustrate the theory. Audience: applied and pure mathematicians, civil, aeronautical and mechanical engineers.

Preface
Introduction
Guidelines for the Reader, Abbreviations
Elements of Nonsmooth Analysis. Hemivariational Inequalitiesp. 1
Nonsmooth Critical Point Theoryp. 35
Minimax Methods for Variational-Hemivariational Inequalitiesp. 59
Eigenvalue Problems for Hemivariational Inequalitiesp. 93
Multiple Solutions of Eigenvalue Problems for Hemivariational Inequalitiesp. 133
Eigenvalue Problems for Hemivariational Inequalities on the Spherep. 169
Resonant Eigenvalue Problems for Hemivariational Inequalitiesp. 197
Double Eigenvalue Problems for Hemivariational Inequalitiesp. 219
Periodic and Dynamic Problemsp. 263
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792354567
ISBN-10: 0792354567
Series: Nonconvex Optimization and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 310
Published: December 2009
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.42