Multiplicity of Solutions for Quasilinear Elliptic Systems with Singularity

被引：0

作者：

Juan LI ^{[1
]}

Yu-xia TONG ^{[2
]}

机构：

[1] Department of Mathematics, Ningbo University

[2] College of Science, Heibei United University

来源：

Acta Mathematicae Applicatae Sinica | 2015年 / 31卷 / 01期

基金：

美国国家科学基金会;

关键词：

quasilinear elliptic system; singularity; critical growth;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of multiple solutions for the following quasilinear elliptic system:p*(t)|u-2β- △pu1-μ|-2u up1= α1u + β1-2|xp||xt|vβ2||u|u, x∈,|q*β- △qv-μ2 |v|q-2v αv(s)-2|2x|q=|x|sv + β2|uβ1||v2 |-2v, x∈,u(x) = v(x) = 0, x∈ .Multiplicity of solutions for the quasilinear problem is obtained via variational method.

引用

页码：277 / 286

页数：10

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