SOLUTIONS TO ELLIPTIC SYSTEMS INVOLVING DOUBLY CRITICAL NONLINEARITIES AND HARDY-TYPE POTENTIALS

doi:10.1016/S0252-9602(15)60013-3

Abstract

Abstract:

In this article, an elliptic system is investigated, which involves Hardy-type po- tentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argument, the Palais-Smale sequences of related approx- imation problems is analyzed and the existence of infinitely many solutions to the system is established.

Key words: Elliptic system, solution, critical nonlinearity, Hardy inequality, global com- pactness

CLC Number:

35J50

Dongsheng KANG, Jing LUO, Xiaolin SHI. SOLUTIONS TO ELLIPTIC SYSTEMS INVOLVING DOUBLY CRITICAL NONLINEARITIES AND HARDY-TYPE POTENTIALS[J].Acta mathematica scientia,Series B, 2015, 35(2): 423-438.

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