Existence results for quasilinear hemivariational inequalities at resonance

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2007, 2007(Special): 409-418. doi: 10.3934/proc.2007.2007.409

Existence results for quasilinear hemivariational inequalities at resonance

1.	Jagiellonian University, Institute of Computer Science, ul. Nawojki 11, 30072 Kraków

Received July 2006 Revised May 2007 Published September 2007

Abstract
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In this paper we consider quasilinear hemivariational inequality at resonance. We obtain two existence theorems using a Landesman-Lazer type condition. The method of the proof is based on the nonsmooth critical point theory for locally Lipschitz functions.

Keywords: Clarke subdifferential, Landesman-Lazer type conditions, first eigenvalue, nonsmooth Cerami condition, p-Laplacian, nonsmooth Palais-Smile condition, mountain pass theorem., strong resonance at infinity.

Mathematics Subject Classification: Primary: 49J40; Secondary: 34B15, 35J2.

Citation: Leszek Gasiński. Existence results for quasilinear hemivariational inequalities at resonance. Conference Publications, 2007, 2007 (Special) : 409-418. doi: 10.3934/proc.2007.2007.409

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