Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli | |
Guo, Zongming1; Mei, Linfeng1; Zhang, Zhitao2 | |
2017-12-01 | |
Source Publication | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
ISSN | 0308-2105 |
Volume | 147Issue:6Pages:1215-1232 |
Abstract | 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. |
Keyword | expanding annuli bifurcation symmetry breaking negative exponent Morse index |
DOI | 10.1017/S0308210516000512 |
Language | 英语 |
Funding Project | NSFC[11171092] ; NSFC[11571093] ; NSFC[11371117] ; NSFC[11325107] ; NSFC[11271353] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000423239000003 |
Publisher | CAMBRIDGE UNIV PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29535 |
Collection | 数学所 |
Corresponding Author | Guo, Zongming |
Affiliation | 1.Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation 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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