Two bounded solutions of opposite sign for nonlinear hemivariational inequalities at resonance

被引：0
|
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：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 63卷 / 1-2期
关键词：
hemivariational inequalities; resonance; p-Laplacian; first eigenvalue; principal eigenfunction; upper and lower solution; pseudomonotone operator; coercive operator; truncation map; penalty function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study quasilinear hemivariational inequalities at resonance at the first eigenvalue of the p-Laplacian. For such problems we establish the existence of at least two bounded solutions: one positive and the other negative. Our approach is based on the method of upper-lower solutions and on techniques from the theory of nonlinear operator of monotone type.
引用
收藏
页码：29 / 49
页数：21
相关论文
共 50 条
12345