Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields
文献类型：期刊论文
| 作者 | Cao, DM ; Tang, ZW
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-03-15 |
| 卷号 | 222期号:2页码:381-424 |
| 关键词 | existence and uniqueness multi-bump bound states nonlinear Schrodinger equation magnetic fields |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2005.06.027 |
| 英文摘要 | In this paper, we are concerned with the existence and uniqueness of multi-bump bound states of the nonlinear Schrodinger equations with electromagnetic potential i (h) over bar partial derivative psi/partial derivative t = ((h) over bar /i del - A(x))(2) psi + V(x)psi - vertical bar psi vertical bar(p-2)psi, x is an element of R-N for sufficiently small h > 0, where i is the imaginary unit, 2 < p < 2N/N-2 for N >= 3 and 2 < p < + infinity for N = 1, 2. V(x) is a bonded real function on R-N, and A(x) = (A(1)(x), A(2)(x), ..., A(N)(x)) is such that A(j)(x) is a bounded real function on R-N for j 1,2, ..., N. For any finite collection of {a(1), a(2), ..., a(k)} of non-degenerate critical points of V(x), we show that there exists a solution psi(x, t) = exp(-iEt/h)u(x) which is a small perturbation of a sum of one-bump solutions concentrated at a(1), a(2), ..., a(k) and u(x) is unique up to rotations for small h > 0. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235904100005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3761]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, DM |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 2.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Tang, ZW. Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,222(2):381-424. |
| APA | Cao, DM,&Tang, ZW.(2006).Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields.JOURNAL OF DIFFERENTIAL EQUATIONS,222(2),381-424. |
| MLA | Cao, DM,et al."Existence and uniqueness of multi-bump bound states of nonlinear Schrodinger equations with electromagnetic fields".JOURNAL OF DIFFERENTIAL EQUATIONS 222.2(2006):381-424. |
入库方式： OAI收割
来源：数学与系统科学研究院
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