Multiple solutions for a quasilinear elliptic variational system on strip-like domains

被引：8

作者：

Cammaroto, F. ^{[1
]}

Chinni, A. ^{[1
]}

Di Bella, B. ^{[1
]}

机构：

[1] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2007年 / 50卷

关键词：

strip-like domain; eigenvalue problem; elliptic systems;

D O I：

10.1017/S0013091505001380

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the quasilinear elliptic variational system -Delta(p)u = gimel F-u (x,u,v) + mu H-u (x,u,v) in Omega, -Delta(p)u = gimel F-u (x,u,v) + mu H-u (x,u,v) in Omega, u=v=0 on partial derivative Omega, where Omega is a strip-like domain and gimel and mu are positive parameters. Using a recent two-local-minima theorem and the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on F.

引用

页码：597 / 603

页数：7

共 6 条

[1] Existence of two non-trivial solutions for a class of quasilinear elliptic variational systems on strip-like domains [J].