Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential

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）

	Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential
	Wang, Zhengping; Zhou, Huan-Song
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2011-11-01
卷号	52 期号:11 页码:113704-113704
关键词	ground states nonlinear differential equations Schrodinger equation
产权排序	第一
英文摘要	We are concerned with the least energy solution (i.e., ground state) for the following stationary nonlinear Schroumldinger equation: -Delta u(x)+lambda V(x)u(x)=K(x)f(u), x is an element of R(N), N >= 3, where lambda > 0, V(x) changes sign and may vanish at infinity, f(s) is superlinear or asymptotically linear at infinity. If V(x) > 0, it is shown by T. Weth [Calculus Var. Partial Differ. Equ. 27, 421 (2006)] that the energy of any sign-changing solution of the equation is larger than two times the least energy. But if V(x) changes sign, we find that the equation does have a sign-changing ground state for lambda > 0 large. Moreover, our results show that it is impossible to get a solution of the equation by seeking a minimizer of the energy functional of the equation over the so called Nehari manifold when V(x) changes sign. (C) 2011 American Institute of Physics. [doi:10.1063/1.3663434]
学科主题	数学
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Physics, Mathematical
研究领域[WOS]	Physics
关键词[WOS]	SCHRODINGER-EQUATIONS ; BOUND-STATES ; CRITICAL FREQUENCY ; INFINITY
收录类别	SCI
语种	英语
WOS记录号	WOS:000297938300033
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1920]
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	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Wang, Zhengping,Zhou, Huan-Song. Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential[J]. JOURNAL OF MATHEMATICAL PHYSICS,2011,52(11):113704-113704.
APA	Wang, Zhengping,&Zhou, Huan-Song.(2011).Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential.JOURNAL OF MATHEMATICAL PHYSICS,52(11),113704-113704.
MLA	Wang, Zhengping,et al."Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential".JOURNAL OF MATHEMATICAL PHYSICS 52.11(2011):113704-113704.