Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains
	Hu, Kai 1,2; Tang, Chun-Lei 1
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2011-08-01
卷号	251 期号:3 页码:609-629
关键词	Elliptic equation Positive solution Exterior domain Lack of compactness Reduction method Linking
通讯作者	胡凯
产权排序	第二
英文摘要	We investigate the existence and the multiplicity of positive solutions for the semilinear elliptic equation -Delta u + u = Q(x)vertical bar u vertical bar(p-2)u in exterior domain which is very close to R(N). The potential Q(x) tends to positive constant at infinity and may change sign. (C) 2011 Elsevier Inc. All rights reserved.
学科主题	非线性偏微分方程
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	NONLINEAR SCHRODINGER-EQUATIONS ; CONCENTRATION-COMPACTNESS PRINCIPLE ; SCALAR FIELD-EQUATIONS ; EXTERIOR DOMAINS ; DIRICHLET PROBLEMS ; STATES ; CALCULUS ; INFINITY
收录类别	SCI
语种	英语
WOS记录号	WOS:000291767300006
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1761]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Southwest Univ, Sch Math & Stat, Chongqing 400715, 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	Hu, Kai,Tang, Chun-Lei. Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,251(3):609-629.
APA	Hu, Kai,&Tang, Chun-Lei.(2011).Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains.JOURNAL OF DIFFERENTIAL EQUATIONS,251(3),609-629.
MLA	Hu, Kai,et al."Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains".JOURNAL OF DIFFERENTIAL EQUATIONS 251.3(2011):609-629.