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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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 2; pp. 423 - 438
Main Author 康东升 罗婧 史晓琳
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2015
School of Mathematics and Statistics, South-Central University for Nationalities,Wuhan 430074, China
Subjects
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
solution
critical nonlinearity
35J50
35J60
Hardy inequality
Elliptic system
global compactness
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(15)60013-3

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Summary: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.
Bibliography: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.
42-1227/O
Dongsheng KANG, Jing LUO ,Xiaolin SHI（ School of Mathematics and Statistics, South-Central University for Nationalities Wuhan 430074, China）
Elliptic system; solution; critical nonlinearity; Hardy inequality; global compactness
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)60013-3