Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance

被引：20
作者：
Gasinski, L
Papageorgiou, NS
机构：
[1] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2001年 / 131卷
关键词：
D O I：
10.1017/S0308210500001281
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1091 / 1111
页数：21
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