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Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance

Published online by Cambridge University Press:  12 July 2007

Leszek Gasiński  and
Nikolaos S. Papageorgiou
Leszek Gasiński
Affiliation:
Jagiellonian 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

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 5 , October 2001 , pp. 1091 - 1111
Copyright
Copyright © Royal Society of Edinburgh 2001

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