Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications - Rilegato

Libro 45 di 184: Springer Monographs in Mathematics

Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru

 
9780387306537: Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Sinossi

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

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Dalla quarta di copertina

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.

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Altre edizioni note dello stesso titolo

9781441940339: Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Edizione in evidenza

ISBN 10:  1441940332 ISBN 13:  9781441940339
Casa editrice: Springer, 2010
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