Articles

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

  • Dongsheng KANG ,
  • Jing LUO ,
  • Xiaolin SHI
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  • School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China

Received date: 2013-09-20

  Online published: 2015-03-20

Supported by

This work is supported by the Science Foundation of State Ethnic Affairs Commission of the People's Republic of China (12ZNZ004).

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(15)60013-3

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