Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli | |
Guo, Zongming1; Mei, Linfeng1; Zhang, Zhitao2 | |
2017-12-01 | |
发表期刊 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
ISSN | 0308-2105 |
卷号 | 147期号:6页码:1215-1232 |
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. |
关键词 | expanding annuli bifurcation symmetry breaking negative exponent Morse index |
DOI | 10.1017/S0308210516000512 |
语种 | 英语 |
资助项目 | NSFC[11171092] ; NSFC[11571093] ; NSFC[11371117] ; NSFC[11325107] ; NSFC[11271353] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000423239000003 |
出版者 | CAMBRIDGE UNIV PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/29535 |
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. |
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