Solutions of a nonlinear Dirac equation with external fields
文献类型：期刊论文
| 作者 | Ding, Yanheng1 ; Ruf, Bernhard2
|
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 190期号:1页码:57-82 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-008-0163-z |
| 英文摘要 | We study the stationary Dirac equation: -ic (h) over bar Sigma(3)(k=1) alpha(k)partial derivative(k)u + mc(2)beta u + M(x)u = R-u(x, u) where M(x) is a matrix potential describing the external field, and R(x, u) stands for an asymptotically quadratic nonlinearity modeling various types of interaction without any periodicity assumption. For (h) over bar fixed our discussion includes the Coulomb potential as a special case, and for the semiclassical situation ((h) over bar -> 0), we handle the scalar fields. We obtain existence and multiplicity results of stationary solutions via critical point theory. |
| 资助项目 | NSF[10640420049] ; Key fund from Beijing in China |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258653300002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5419]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, Yanheng |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Ruf, Bernhard. Solutions of a nonlinear Dirac equation with external fields[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2008,190(1):57-82. |
| APA | Ding, Yanheng,&Ruf, Bernhard.(2008).Solutions of a nonlinear Dirac equation with external fields.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,190(1),57-82. |
| MLA | Ding, Yanheng,et al."Solutions of a nonlinear Dirac equation with external fields".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 190.1(2008):57-82. |
入库方式： OAI收割
来源：数学与系统科学研究院
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