Bound states of nonlinear Schrodinger equations with magnetic fields
文献类型：期刊论文
| 作者 | Ding, Yanheng2 ; Wang, Zhi-Qiang1
|
| 刊名 | ANNALI DI MATEMATICA PURA ED APPLICATA
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 190期号:3页码:427-451 |
| 关键词 | Nonlinear Schrodinger equation Magnetic fields Sign-changing potential Subcritical and supercritical growth |
| ISSN号 | 0373-3114 |
| DOI | 10.1007/s10231-010-0157-y |
| 英文摘要 | We study bound states of the following nonlinear Schrodinger equation in the presence of a magnetic field: (- ih del + A(x))(2) u + V(x)u = g( x, |u|)u |u| is an element of H-1(R-N) where A : R-N -> R-N, V : R-N -> R-N R and g : R-N x R -> [0,infinity). We prove that if V is bounded below with the set {x. RN : V( x) < b} not equal phi having finite measure for some b > 0, inf V <= 0, and g satisfies some growth conditions, then for any integer m when h > 0 is sufficiently small the problem has m geometrically different solutions. |
| 资助项目 | National Natural Science Foundation of China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000293922600004 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11525]  |
| 专题 | 数学所 |
| 通讯作者 | Wang, Zhi-Qiang |
| 作者单位 | 1.Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Wang, Zhi-Qiang. Bound states of nonlinear Schrodinger equations with magnetic fields[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2011,190(3):427-451. |
| APA | Ding, Yanheng,&Wang, Zhi-Qiang.(2011).Bound states of nonlinear Schrodinger equations with magnetic fields.ANNALI DI MATEMATICA PURA ED APPLICATA,190(3),427-451. |
| MLA | Ding, Yanheng,et al."Bound states of nonlinear Schrodinger equations with magnetic fields".ANNALI DI MATEMATICA PURA ED APPLICATA 190.3(2011):427-451. |
入库方式： OAI收割
来源：数学与系统科学研究院
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