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

被引：0
作者：
DongSheng Kang
ShuangJie Peng
机构：
[1] South-Central University For Nationalities,School of Mathematics and Statistics
[2] Central China Normal University,School of Mathematics and Statistics
来源：
Science China Mathematics | 2012年 / 55卷
关键词：
elliptic system; solution; critical exponent; Hardy inequality; variational method; 35B33; 35J60;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：2027 / 2044
页数：17
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