SOLUTIONS TO ELLIPTIC SYSTEMS INVOLVING DOUBLY CRITICAL NONLINEARITIES AND HARDY-TYPE POTENTIALS |
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| Authors: | Dongsheng KANG;Jing LUO;Xiaolin SHI |
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| Institution: | Dongsheng KANG;Jing LUO;Xiaolin SHI;School of Mathematics and Statistics,South-Central University for Nationalities; |
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| Abstract: | In this article,an elliptic system is investigated,which involves Hardy-type potentials,critical Sobolev-type nonlinearities,and critical Hardy-Sobolev-type nonlinearities.By a variational global-compactness argument,the Palais-Smale sequences of related approximation problems is analyzed and the existence of infinitely many solutions to the system is established. |
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