Bifurcation on compact spin manifold
文献类型：期刊论文
| 作者 | Ding, Yanheng1 ; Li, Jiongyue1; Xu, Tian2
|
| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-08-01 |
| 卷号 | 55期号:4页码:17 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-016-1030-7 |
| 英文摘要 | We consider the bifurcation phenomenon of solutions to a class of nonlinear Dirac equations mu D psi = psi + h(psi) on compact spin manifolds. There are two main results. The first is bifurcation from zero, which asserts that the equations allow a sequence of bifurcation points (mu(k),theta), and for each mu is an element of R near mu k the corresponding equation has at least two nontrivial solutions near theta. The second result is bifurcation from infinity. The point (mu(k), infinity) is also proved to be a bifurcation point and we give a characterization of the bifurcation behavior. |
| 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 |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000381989700019 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23297]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, Yanheng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng,Li, Jiongyue,Xu, Tian. Bifurcation on compact spin manifold[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2016,55(4):17. |
| APA | Ding, Yanheng,Li, Jiongyue,&Xu, Tian.(2016).Bifurcation on compact spin manifold.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,55(4),17. |
| MLA | Ding, Yanheng,et al."Bifurcation on compact spin manifold".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 55.4(2016):17. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。