Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance

Leszek Gasiński; Nikolaos S. Papageorgiou

doi:10.1017/S0308210500001281

Abstract

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In this paper we consider quasilinear hemivariational inequalities at resonance. We obtain existence theorems using Landesman-Lazer-type conditions and multiplicity theorems for problems with strong resonance at infinity. Our method of proof is based on the non-smooth critical point theory for locally Lipschitz functions and on a generalized version of the Ekeland variational principle.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance

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