Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation

doi:10.1515/anona-2020-0110

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	Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation
	Liu, Yueli 1; Li, Xu 3; Ji, Chao 2
刊名	ADVANCES IN NONLINEAR ANALYSIS
	2021-01
卷号	10 期号:1 页码:131-151
关键词	KLEIN-GORDON-MAXWELL STATES
ISSN号	2191-9496
DOI	10.1515/anona-2020-0110
英文摘要	In this paper, we study the following nonlinear magnetic Schrodinger-Poisson type equation {(epsilon/i del - A(x))2 u + V(x) + epsilon(-2)vertical bar x vertical bar(-1) *vertical bar u vertical bar 2)uf(vertical bar u vertical bar 2)u in R3, u is an element of H-1 (R-3, C), where epsilon > 0, V : R-3 -> R and A : R-3 are continuous potentials. Under a local assumption on the potential V, by variational methods, penalization technique, and Ljusternick-Schnirelmann theory, we prove multiplicity and concentration properties of nontrivial solutions fore epsilon > 0 small. In this problem, the function f is only continuous, which allow to consider larger classes of nonlinearities in the reaction.
WOS研究方向	Mathematics
语种	英语
出版者	WALTER DE GRUYTER GMBH
WOS记录号	WOS:000551247000001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147377]
专题	兰州理工大学
通讯作者	Ji, Chao
作者单位	1.Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China; 2.East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China 3.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China;
推荐引用方式 GB/T 7714	Liu, Yueli,Li, Xu,Ji, Chao. Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation[J]. ADVANCES IN NONLINEAR ANALYSIS,2021,10(1):131-151.
APA	Liu, Yueli,Li, Xu,&Ji, Chao.(2021).Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation.ADVANCES IN NONLINEAR ANALYSIS,10(1),131-151.
MLA	Liu, Yueli,et al."Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation".ADVANCES IN NONLINEAR ANALYSIS 10.1(2021):131-151.