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

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

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...

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Veröffentlicht in:Acta mathematica scientia 2015-03, Vol.35 (2), p.423-438
1. Verfasser: 康东升 罗婧 史晓琳
Format: Artikel
Sprache:eng
Schlagworte:
35J50
35J60
critical nonlinearity
Elliptic system
global compactness
Hardy inequality
solution
临界期
无穷多
椭圆型方程组
椭圆形
系统
索伯列夫
逼近问题
非线性
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)60013-3