Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3

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	Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3
	Wang, Zhengping 1,2; Zhou, Huan-Song 1,2
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2015-03-01
卷号	52 期号:3-4 页码:927-943
英文摘要	We are interested in the existence and energy estimate of sign-changing solutions for a Schrodinger-Poisson problem on R-3. Because the so-called nonlocal term lambda phi(u)(x) u is involving in the equation, the variational functional of the equation has totally different properties from the case of lambda = 0. By introducing some new ideas, we prove, via a constraint variational method combining the Brouwer degree theory, that the problem has a sign-changing solution under suitable conditions. When lambda = 0, it is known that any sign-changing solution of the problem has an energy exceeding twice the least energy. However, it is still unknown what would happen when lambda > 0. We partially answer this question for lambda > 0 being small.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	ELLIPTIC-EQUATIONS ; POSITIVE SOLUTIONS ; MAXWELL EQUATIONS ; RADIAL SOLUTIONS ; NODAL SOLUTIONS ; BOUND-STATES ; EXISTENCE ; WAVES
收录类别	SCI
语种	英语
WOS记录号	WOS:000352199600021
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1062]
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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Zhengping,Zhou, Huan-Song. Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2015,52(3-4):927-943.
APA	Wang, Zhengping,&Zhou, Huan-Song.(2015).Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,52(3-4),927-943.
MLA	Wang, Zhengping,et al."Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 52.3-4(2015):927-943.