Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential

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	Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential
	Jiang YongSheng 1,2; Zhou HuanSong 2
刊名	SCIENCE CHINA-MATHEMATICS
	2014-06-01
卷号	57 期号:6 页码:1163-1174
关键词	elliptic equation multiple solutions Schrodinger-Poisson-Slater equation Coulomb potential
英文摘要	Consider the following Schrodinger-Poisson-Slater system, where omega > 0, lambda > 0 and beta > 0 are real numbers, p a (1, 2). For beta = 0, it is known that problem (P) has no nontrivial solution if lambda > 0 suitably large. When beta > 0, -beta/\|x\| is an important potential in physics, which is called external Coulomb potential. In this paper, we find that (P) with beta > 0 has totally different properties from that of beta = 0. For beta > 0, we prove that (P) has a ground state and multiple solutions if lambda > c (p,omega) , where c (p,omega) > 0 is a constant which can be expressed explicitly via omega and p.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	HARTREE EQUATION ; MAXWELL EQUATIONS ; SYSTEM ; EXISTENCE ; PRINCIPLE
收录类别	SCI
语种	英语
WOS记录号	WOS:000335902700005
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1386]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Jiang YongSheng,Zhou HuanSong. Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential[J]. SCIENCE CHINA-MATHEMATICS,2014,57(6):1163-1174.
APA	Jiang YongSheng,&Zhou HuanSong.(2014).Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential.SCIENCE CHINA-MATHEMATICS,57(6),1163-1174.
MLA	Jiang YongSheng,et al."Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential".SCIENCE CHINA-MATHEMATICS 57.6(2014):1163-1174.