Existence results for quasilinear hemivariational inequalities at resonance

Leszek Gasiński

doi:10.3934/proc.2007.2007.409

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2007, Volume 2007: 409-418. Doi: 10.3934/proc.2007.2007.409 open access

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Existence results for quasilinear hemivariational inequalities at resonance

Leszek Gasiński^1,

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

Received: June 30, 2006

Revised: April 30, 2007

Published: August 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 49J40; Secondary: 34B15, 35J20.

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