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.
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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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Denkowski, Z., Gasiński, L. & Papageorgiou, N.S. Nontrivial Solutions for Resonant Hemivariational Inequalities. J Glob Optim 34, 317–337 (2006). https://doi.org/10.1007/s10898-005-4388-1
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DOI: https://doi.org/10.1007/s10898-005-4388-1