Positive solutions for a quasilinear Schrodinger equation involving Hardy potential and critical exponent

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 > 数学物理与应用研究部

	Positive solutions for a quasilinear Schrodinger equation involving Hardy potential and critical exponent
	Zeng, Xiaoyu; Zhang, Yimin; Zhou, Huan-Song
刊名	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
	2014-12-01
卷号	16 期号:6
关键词	Quasilinear Schrodinger equation critical exponent Hardy potential positive solutions
英文摘要	We are concerned with positive solutions of a quasilinear Schrodinger equation with Hardy potential and critical exponent. Different from the semilinear equation, the Hardy term in our equation is not only singular, but also nonlinear. It seems unlikely to get solutions for our equation in H-1(R-N) boolean AND L-infinity(R-N) by using Nehari method as Liu-Liu-Wang [Ground states for quasilinear Schrodinger equations with critical growth, Calc. Var. Partial Differential Equations 46 (2013) 641-669]. In this paper, by transforming the quasilinear equation to a semilinear equation, we established the existence of positive solutions for the quasilinear Schrodinger equation in H-1(R-N) under suitable conditions.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	SOLITON-SOLUTIONS ; ELLIPTIC-EQUATIONS ; CRITICAL GROWTH ; R-N ; EXISTENCE
收录类别	SCI
语种	英语
WOS记录号	WOS:000345215300006
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1370]
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	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Zeng, Xiaoyu,Zhang, Yimin,Zhou, Huan-Song. Positive solutions for a quasilinear Schrodinger equation involving Hardy potential and critical exponent[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2014,16(6).
APA	Zeng, Xiaoyu,Zhang, Yimin,&Zhou, Huan-Song.(2014).Positive solutions for a quasilinear Schrodinger equation involving Hardy potential and critical exponent.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,16(6).
MLA	Zeng, Xiaoyu,et al."Positive solutions for a quasilinear Schrodinger equation involving Hardy potential and critical exponent".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 16.6(2014).