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Existence and multiplicity results for quasilinear hemivariational inequalities at resonance |
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| Authors: | Leszek Gasiński |
| Abstract: | In this paper we consider quasilinear hemivariational inequality at resonance. We prove existence results for strongly resonant quasilinear problem, resonant problem under a Tang‐type condition as well as two multiplicity results. The method of the proofs is based on the nonsmooth critical point theory for locally Lipschitz functions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | p ‐Laplacian strong resonance at infinity first eigenvalue Clarke subdifferential nonsmooth Cerami condition Tang condition mountain pass theorem |