Acta mathematica scientia, Series B >
INFINITELY MANY SOLUTIONS FOR A SINGULAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS IN RN
Received date: 2007-10-09
Online published: 2010-05-20
Supported by
Supported by NSFC (10971238, 10871109)
In this article, we study the existence of multiple solutions for the singular semilinear elliptic equation involving critical Sobolev-Hardy exponents
-?u-u u/|x|2=α |u|2*(s)-2u/|x|s + βa(x)|u|r-2 u, x ∈ RN.
By means of the concentration-compactness principle and minimax methods, we obtain infinitely many solutions which tend to zero for suitable positive parameters α, β.
HE Xiao-Ming , ZOU Wen-Ming . INFINITELY MANY SOLUTIONS FOR A SINGULAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS IN RN[J]. Acta mathematica scientia, Series B, 2010 , 30(3) : 830 -840 . DOI: 10.1016/S0252-9602(10)60082-3
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