Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities
文献类型：期刊论文
| 作者 | Li, Suhong1,2; Ding, Yanheng2 ; Chen, Yu2
|
| 刊名 | BOUNDARY VALUE PROBLEMS
 |
| 出版日期 | 2015-12-24 |
| 页码 | 26 |
| 关键词 | ground state concentration standing waves nonlocal |
| ISSN号 | 1687-2770 |
| DOI | 10.1186/s13661-015-0507-1 |
| 英文摘要 | We study the following nonlocal Schrodinger equations: epsilon(2s)(-Delta)(s)u+V(x)u = W(x)f(u), epsilon(2s)(-Delta)(s)u+V(x)u = W(x)f(u) + u(2s*-1)) for u is an element of H-s(R-N), where f (u) is superlinear and subcritical, 2s*=2N/N-2s if N>2s. V(x) and W(x) are sufficiently smooth potential with inf V(x) > 0, inf W(x) > 0, and epsilon > 0 is a small number. Under proper assumptions, we explore the existence, concentration phenomenon, convergence, and decay estimate of semiclassical solutions of (I) and (II), respectively. Compared with some existing issues, the most interesting results obtained here are therefore: the concentration phenomenon depends on competing potential functions; the nonlocal critical problem (II) is considered; unlike the classical case s = 1, the decay estimate of solution to (I) or (II) is of polynomial instead of exponential form, due to the nonlocal effect. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000369110600001 |
| 出版者 | SPRINGER INTERNATIONAL PUBLISHING AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21840]  |
| 专题 | 数学所 |
| 通讯作者 | Li, Suhong |
| 作者单位 | 1.Hebei Normal Univ Sci & Technol, Inst Math & Informat Technol, Qinhuangdao 066004, Hebei, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Suhong,Ding, Yanheng,Chen, Yu. Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities[J]. BOUNDARY VALUE PROBLEMS,2015:26. |
| APA | Li, Suhong,Ding, Yanheng,&Chen, Yu.(2015).Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities.BOUNDARY VALUE PROBLEMS,26. |
| MLA | Li, Suhong,et al."Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities".BOUNDARY VALUE PROBLEMS (2015):26. |
入库方式： OAI收割
来源：数学与系统科学研究院
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