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Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials 被引量:7

Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials
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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. 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.
出处 《Science China Mathematics》 SCIE 2012年第10期2027-2044,共18页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.10771219 and 11071092) the PhD Specialized Grant of the Ministry of Education of China(Grant No.20110144110001)
关键词 HARDY 椭圆系统 无穷多解 临界指数 指数和 椭圆型方程 逼近问题 变分法 elliptic system, solution, critical exponent, Hardy inequality, variational method
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