Existence of a nontrivial solution for Choquard's equation

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	Existence of a nontrivial solution for Choquard's equation
	Zhang Zhengjie ; Kuepper, Tassilo ; Hu Ailian ; Xia Hongqiang
	2006-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	26 期号:3 页码:460-468
摘要	In this article, the authors consider the existence of a nontrivial solution for the following equation: -Delta u + u = q(x)(\u\(2) * 1/\x\)u, x is an element of R-3, 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
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000239506700010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3171
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang Zhengjie
作者单位	1.Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China 2.Univ Cologne, D-50923 Cologne, Germany 3.Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England 4.Chinese Acad Sci, Inst Appl Math, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Zhang Zhengjie,Kuepper, Tassilo,Hu Ailian,et al. Existence of a nontrivial solution for Choquard's equation[J]. ACTA MATHEMATICA SCIENTIA,2006,26(3):460-468.
APA	Zhang Zhengjie,Kuepper, Tassilo,Hu Ailian,&Xia Hongqiang.(2006).Existence of a nontrivial solution for Choquard's equation.ACTA MATHEMATICA SCIENTIA,26(3),460-468.
MLA	Zhang Zhengjie,et al."Existence of a nontrivial solution for Choquard's equation".ACTA MATHEMATICA SCIENTIA 26.3(2006):460-468.