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Nonconvex Optimization and Its Applications

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Authors: Motreanu, Dumitru, Panagiotopoulos, Panagiotis D.

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-1-4615-4064-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 187,15 €
price for Spain (gross)
  • ISBN 978-0-7923-5456-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-1-4613-6820-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
29
Copyright
1999
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4615-4064-9
DOI
10.1007/978-1-4615-4064-9
Hardcover ISBN
978-0-7923-5456-7
Softcover ISBN
978-1-4613-6820-5
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVIII, 310
Topics