Existence theorems for elliptic hemivariational inequalities involving the p‐Laplacian

Nikolaos C. Kourogenis and Nikolaos S. Papageorgiou

Abstract and Applied Analysis, 2002, vol. 7, issue 5, 259-277

Abstract: We study quasilinear hemivariational inequalities involving the p‐Laplacian. We prove two existence theorems. In the first, we allow “crossing” of the principal eigenvalue by the generalized potential, while in the second, we incorporate problems at resonance. Our approach is based on the nonsmooth critical point theory for locally Lipschitz energy functionals.

Date: 2002
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https://doi.org/10.1155/S1085337502000908

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:5:p:259-277

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