On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system
文献类型：期刊论文
| 作者 | Ding, Yanheng1; Ruf, Bernhard2 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-04-05 |
| 卷号 | 260期号:7页码:5565-5588 |
| 关键词 | Nonlinear Maxwell-Dirac system Semiclassical states Multiplicity |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2015.12.013 |
| 英文摘要 | We study multiplicity of semi-classical solutions of the nonlinear Maxwell-Dirac system: {alpha, (i (h) over bar del + q(x)(A) over right arrow (x))w - a beta w - omega w - q(x)phi(x)w = f(x,vertical bar w vertical bar)w -Delta phi = q(x)vertical bar w vertical bar(2) -Delta A(k) = q(x) (alpha(k)w)center dot(w) over bar k = 1, 2, 3 for x epsilon R-3, where (A) over right arrow is the magnetic field, phi is the electron field, q describes the changing pointwise charge distribution, and f describes the self-interaction which is either subcritical: W(x)vertical bar u vertical bar(p-2)u, p epsilon (2, 3), or critical: W-1 (x)vertical bar u vertical bar(p-2)u + W-2(x)vertical bar u vertical bar u. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. (C) 2015 Elsevier Inc. All rights reserved, |
| 资助项目 | National Science Foundation of China (NSFC)[11331010] ; National Science Foundation of China (NSFC)[11571146] ; Beijing Center for Mathematics and Information Interdisciplinary Sciences ; International Centre for Theoretical Physics, Italy |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000374510900002 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22698]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ruf, Bernhard |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Ruf, Bernhard. On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,260(7):5565-5588. |
| APA | Ding, Yanheng,&Ruf, Bernhard.(2016).On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system.JOURNAL OF DIFFERENTIAL EQUATIONS,260(7),5565-5588. |
| MLA | Ding, Yanheng,et al."On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system".JOURNAL OF DIFFERENTIAL EQUATIONS 260.7(2016):5565-5588. |
入库方式： OAI收割
来源：数学与系统科学研究院
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