Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli
文献类型：期刊论文
| 作者 | Guo, Zongming1; Mei, Linfeng1; Zhang, Zhitao2
|
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 147期号:6页码:1215-1232 |
| 关键词 | expanding annuli bifurcation symmetry breaking negative exponent Morse index |
| ISSN号 | 0308-2105 |
| DOI | 10.1017/S0308210516000512 |
| 英文摘要 | Bifurcation of non-radial solutions from radial solutions of a semilinear elliptic equation with negative exponent in expanding annuli of R-2 is studied. To obtain the main results, we use a blow-up argument via the Morse index of the regular entire solutions of the equation Delta u =lambda/u(2) in R-2. The main results of this paper can be seen as applications of the results obtained recently for finite Morse index solutions of the equation Delta u =lambda/u(p) in R-N with N >= 2 and p > 0. |
| 资助项目 | NSFC[11171092] ; NSFC[11571093] ; NSFC[11371117] ; NSFC[11325107] ; NSFC[11271353] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000423239000003 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29534]  |
| 专题 | 数学所 |
| 通讯作者 | Guo, Zongming |
| 作者单位 | 1.Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Zongming,Mei, Linfeng,Zhang, Zhitao. Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2017,147(6):1215-1232. |
| APA | Guo, Zongming,Mei, Linfeng,&Zhang, Zhitao.(2017).Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,147(6),1215-1232. |
| MLA | Guo, Zongming,et al."Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 147.6(2017):1215-1232. |
入库方式： OAI收割
来源：数学与系统科学研究院
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