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Multiplicity of solutions for a class of non-symmetric eigenvalue hemivariational inequalities

✍ Scribed by Claudiu Ciulcu; Dumitru Motreanu; Vicenţiu Rădulescu

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
134 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The aim of this paper is to establish the influence of a non‐symmetric perturbation for a symmetric hemivariational eigenvalue inequality with constraints. The original problem was studied by Goeleven et al. (Math. Methods Appl. Sci. 1997; 20: 548) who deduced the existence of infinitely many solutions for the symmetric case. In this paper it is shown that the number of solutions of the perturbed problem becomes larger and larger if the perturbation tends to zero with respect to a natural topology. The approach relies on topological methods in non‐smooth critical point theory leading to this new multiplicity information. Copyright © 2003 John Wiley & Sons, Ltd.

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