Sign-changing solutions for the nonlinear Schrodinger-Poisson system in R-3 | |
Wang, Zhengping1,2; Zhou, Huan-Song1,2 | |
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. |
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