Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance

Authors
Gasinski, L Papageorgiou, NS
Citation
L. Gasinski et Ns. Papageorgiou, Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance, P RS EDIN A, 131, 2001, pp. 1091-1111
Citations number
25
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
131
Year of publication
2001
Part
5
Pages
1091 - 1111
Database
ISI
SICI code
0308-2105(2001)131:<1091:SAMSFQ>2.0.ZU;2-O
Abstract
In this paper we consider quasilinear hemivariational inequalities at reson ance. We obtain existence theorems using Landesman-Lazer-type conditions an d multiplicity theorems for problems with strong resonance at infinity. Our method of proof is based on the non-smooth critical point theory for local ly Lipschitz functions and on a generalized version of the Ekeland variatio nal principle.