Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials |
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| Authors: | DongSheng Kang ShuangJie Peng |
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| Affiliation: | 1. School of Mathematics and Statistics, South-Central University For Nationalities, Wuhan, 430074, China
2. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
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| Abstract: | 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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| Keywords: | elliptic system solution critical exponent Hardy inequality variational method |
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