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＜電子ブック＞
Nonsmooth Variational Problems and Their Inequalities : Comparison Principles and Applications / by Siegfried Carl, Vy Khoi Le, Dumitru Motreanu
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2007.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XII, 395 p. 30 illus : online resource
著者標目	*Carl, Siegfried author Le, Vy Khoi author Motreanu, Dumitru author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Differential equations LCSH:Mathematics FREE:Functional Analysis FREE:Differential Equations FREE:Applications of Mathematics
一般注記	Mathematical Preliminaries -- Variational Equations -- Multivalued Variational Equations -- Variational Inequalities -- Hemivariational Inequalities -- Variational-Hemivariational Inequalities 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 HTTP:URL=https://doi.org/10.1007/978-0-387-46252-3

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