Nontrivial Solutions for Resonant Hemivariational Inequalities |
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| Authors: | Zdzis?aw Denkowski Leszek Gasiński Nikolaos S Papageorgiou |
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| Institution: | (1) Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072 Cracow, Poland;(2) Department of Mathematics, National Technical University, Zografou Campus, Athens, 15780, Greece |
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| Abstract: | We study a resonant semilinear elliptic hemivariational inequality. Under some assumptions of strong resonance on the Clarke
subdifferential of the superpotential, and using nonsmooth critical point theory, the existence of a nontrivial solution of
the problem is shown.
This paper has been partially supported by the State Committee for Scientific Research of Poland (KBN) under research grants
no. 2 P03A 003 25 and no. 4 T07A 027 26. |
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| Keywords: | hemivariational inequality strongly resonant problem |
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