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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities (Paperback, Softcover reprint of the original 1st ed. 1999)
Loot Price: R4,239
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Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Nonconvex Optimization and Its Applications, 29
Expected to ship within 10 - 15 working days
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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."
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