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An existence theorem for nonlinear hemivariational inequalities at resonance

Published online by Cambridge University Press:  17 April 2009

Leszek Gasiński  and
Nikolaos S. Papageorgiou
Leszek Gasiński
Affiliation:
Jagellonian University, Institute of Computer Science, ul. Nawojki 11, 30072 Cracow, Poland
Nikolaos S. Papageorgiou
Affiliation:
National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece
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Abstract

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We consider a nonlinear hemivariational inequality with the p-Laplacian at resonance. Using an extension of the nonsmooth mountain pass theorem of Chang, which makes use of the Cerami compactness condition, we prove the existence of a nontrivial solution. Our existence results here extends a recent theorem on resonant hemivariational inequalities, by the authors in 1999.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 1 - 14
Copyright
Copyright © Australian Mathematical Society 2001

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