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Nonsmooth Variational Problems and their Inequalities

Comparison Principles and Applications

Nonsmooth Variational Problems and their Inequalities
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US$ 129.00
This monograph focuses primarily on non-smooth variational problems that arise from boundary value problems with non-smooth data and/or non-smooth 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 non-smooth analysis is applied, a brief outline of which has been provided in a preliminary chapter in order to make the book self-contained.
Springer; June 2007
404 pages; ISBN 9780387462523
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