Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials

被引：12
作者：
Kang DongSheng [1 ]
Peng ShuangJie [2 ]
机构：
[1] S Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 10期
基金：
中国国家自然科学基金;
关键词：
elliptic system; solution; critical exponent; Hardy inequality; variational method; CRITICAL SOBOLEV; EQUATIONS; EXISTENCE;
D O I：
10.1007/s11425-012-4482-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a system of elliptic equations is investigated, which involves Hardy potential and multiple critical Sobolev exponents. By a global compactness argument of variational method and a fine analysis on the Palais-Smale sequences created from related approximation problems, the existence of infinitely many solutions to the system is established.
引用
收藏
页码：2027 / 2044
页数：18
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