Nonsmooth Variational Problems and Their Inequalities

Comparison Principles and Applications

Siegfried Carl, Vy Khoi Le, Dumitru Motreanu - Collection Springer Monographs in Mathematics

396 pages, parution le 01/02/2007

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Résumé

This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as is multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems.

The main purpose of this book is to provide a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method. This method is an effective and flexible technique to obtain existence and comparison results of solutions. Also, it can be employed for the investigation of various qualitative properties, such as location, multiplicity and extremality of solutions. In the treatment of the problems under consideration a wide range of methods and techniques from nonlinear and nonsmooth analysis is applied, a brief outline of which has been provided in a preliminary chapter in order to make the book self-contained.

This text is an invaluable reference for researchers and graduate students in mathematics (functional analysis, partial differential equations, elasticity, applications in materials science and mechanics) as well as physicists and engineers.

Sommaire

Introduction.
Mathematical Preliminaries.
Variational Equations.
Multivalued Variational Equations.
Variational Inequalities.
Hemivariational Inequalities.
Variational-Hemivariational Inequalities.
List of Symbols.

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Siegfried Carl, Vy Khoi Le, Dumitru Motreanu
Collection	Springer Monographs in Mathematics
Parution	01/02/2007
Nb. de pages	396
Format	16 x 24
Couverture	Relié
Poids	683g
Intérieur	Noir et Blanc
EAN13	9780387306537
ISBN13	978-0-387-30653-7