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EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION

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成果类型:
期刊论文
作者:
Zhang Zhengjie*张正杰);Kuepper, Tassilo;Hu Ailian;Xia Hongqiang
通讯作者:
Zhang Zhengjie(张正杰
作者机构:
[Zhang Zhengjie] Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China.
Univ Cologne, D-50923 Cologne, Germany.
Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England.
Chinese Acad Sci, Inst Appl Math, Beijing 100864, Peoples R China.
通讯机构:
[Zhang Zhengjie] C
Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Existence;Choquard's equation;Min-Max
关键词(中文):
存在性;Choquard方程;非平凡解;数学分析
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2006
卷:
26
期:
3
页码:
460-468
基金类别:
Financial support in part by the Volkswagen Foundation of Germany and in part by NNSF of China. This work was completed partially when the First author visited the Institute of Applied Mathematics, Chinese Academy of Science. The First author wishes to thank Professor Cao Daomin for his invitation and suggestions.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this article, the authors consider the existence of a nontrivial solution for the following equation: - Δ u + u = q (x) (| u |*frac(, 1,, | x |,)) u, x ∈ ℝ, 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. © 2006 Wuhan...
摘要(中文):
In this article, the authors consider the existence of a nontrivial solution for the following equation: where q(x) satisfies some conditions. Using a Min-Max method, the authors prove that there is at least one nontrivial solution ...

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