Acta mathematica scientia, Series B >
EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION
Received date: 2004-05-25
Revised date: 2005-08-23
Online published: 2006-07-20
In this article, the authors consider the existence of a nontrivial solution
for the following equation:
-△ u + u =q(x)(|u|2*{1/|x|})u, x∈ R3,
where q(x) satisfies some conditions. Using a Min-Max method, the authors prove that there is at least one nontrivial solution for the above equation.
Key words： Existence; Choquard's equation; Min-Max
Zhang Zhengjie , Tassilo Kupper , Hu Ailian , Xia Hongqiang . EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION[J]. Acta mathematica scientia, Series B, 2006 , 26(3) : 460 -468 . DOI: 10.1016/S0252-9602(06)60070-2
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