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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
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Catalogue Information
Field name
Details
Dewey Class
515.64
Title
Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities ([EBook]) / by D. Motreanu, P. D. Panagiotopoulos.
Author
Motreanu, Dumitru
Added Personal Name
Panagiotopoulos, Panagiotis D. , 1950-1998. author.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Springer , 1999.
Physical Details
XVIII, 310 pages : online resource.
Series
Nonconvex Optimization and Its Applications
1571-568X ; ; 29
ISBN
9781461540649
Summary Note
Boundary value problems which have variational expressions in form of inequal ities can be divided into two main classes. The class of boundary value prob lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational inequalities. The first class is related to convex energy functions and has being studied over the last forty years and the second class is related to nonconvex energy functions and has a shorter research "life" beginning with the works of the second author of the present book in the year 1981. Nevertheless a variety of important results have been produced within the framework of the theory of hemivariational inequalities and their numerical treatment, both in Mathematics and in Applied Sciences, especially in Engineering. It is worth noting that inequality problems, i. e. BVPs leading to variational or to hemivariational inequalities, have within a very short time had a remarkable and precipitate development in both Pure and Applied Mathematics, as well as in Mechanics and the Engineering Sciences, largely because of the possibility of applying and further developing new and efficient mathematical methods in this field, taken generally from convex and/or nonconvex Nonsmooth Analy sis. The evolution of these areas of Mathematics has facilitated the solution of many open questions in Applied Sciences generally, and also allowed the formu lation and the definitive mathematical and numerical study of new classes of interesting problems.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4615-4064-9
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Calculus of variations
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Calculus of variations and optimal control; optimization
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Engineering mathematics
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Lie groups
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Special Functions
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Topological groups
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Topological groups, Lie groups
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Authors:
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Motreanu, Dumitru
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Corporate Authors:
SpringerLink (Online service)
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Series:
Nonconvex Optimization and Its Applications
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Classification:
515.64
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