EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

doi:10.1016/S0252-9602(06)60070-2

数学物理学报(英文版)

EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

张正杰; Tassilo Kupper; 胡爱莲; 夏红强

华中师范大学数学系, 武汉 430079

收稿日期:2004-05-25 修回日期:2005-08-23 出版日期:2006-07-20 发布日期:2006-07-20
通讯作者: 张正杰
基金资助:
Financial support in part by the Volkswagen Foundation of Germany and in part by NNSF of China.

EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

Zhang Zhengjie; Tassilo Kupper; Hu Ailian; Xia Hongqiang

Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received:2004-05-25 Revised:2005-08-23 Online:2006-07-20 Published:2006-07-20
Contact: Zhang Zhengjie

摘要/Abstract

摘要：

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.

关键词: Existence, Choquard's equation, Min-Max

Abstract:

Key words: Existence, Choquard's equation, Min-Max

中图分类号:

35J60

张正杰; Tassilo Kupper; 胡爱莲; 夏红强. EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION[J]. 数学物理学报(英文版), 2006, 26(3): 460-468.

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.

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EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

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