Multiplicity of Solutions for Quasilinear Elliptic Systems with Singularity

被引：2
|
作者：
Li, Juan [1 ]
Tong, Yu-xia [2 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Heibei United Univ, Coll Sci, Tangshan 063009, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 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; CRITICAL SOBOLEV; INEQUALITIES; EXISTENCE;
D O I：
10.1007/s10255-015-0466-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of multiple solutions for the following quasilinear elliptic system: {-Delta p u - mu 1 vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) = alpha(1)u(p)*((t)-2)/vertical bar x vertical bar(t)u+beta(1)vertical bar v vertical bar(beta 2)vertical bar u vertical bar(beta 1-2)u, x is an element of Omega, -Delta(q) v - mu(2)vertical bar v vertical bar(q-2)v/vertical bar x vertical bar(q) = alpha(2)v(q)*((s)-2)/vertical bar x vertical bar(s)v+beta(2)vertical bar u vertical bar(beta 1)vertical bar v vertical bar(beta 2-2)v, x is an element of Omega, u(x) = v(x) = 0, Multiplicity of solutions for the quasilinear problem is obtained via variational method.
引用
收藏
页码：277 / 286
页数：10
相关论文
共 50 条
12345