Acta mathematica scientia, Series B >
INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY
Received date: 2010-08-24
Online published: 2010-11-20
Supported by
D.Cao was supported by Key Project (10631030) of NSFC and Knowledge Innovation Funds of CAS in China. S.Yan was partially supported by ARC in Australia.
We study the following elliptic problem:
{−div(a(x)Du) = Q(x)|u|2*-2u+λu x ∈Ω,
u = 0 on∂Ω.
Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.
CAO Dao-Min , YAN Shu-Sen . INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY[J]. Acta mathematica scientia, Series B, 2010 , 30(6) : 2017 -2032 . DOI: 10.1016/S0252-9602(10)60188-9
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