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

1101515652
Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications
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.

109.99 In Stock
Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications

Paperback(Softcover reprint of hardcover 1st ed. 2007)

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Overview

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.


Product Details

ISBN-13: 9781441940339
Publisher: Springer US
Publication date: 11/25/2010
Series: Springer Monographs in Mathematics
Edition description: Softcover reprint of hardcover 1st ed. 2007
Pages: 398
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Mathematical Preliminaries.- Variational Equations.- Multivalued Variational Equations.- Variational Inequalities.- Hemivariational Inequalities.- Variational-Hemivariational Inequalities.
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