Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli

doi:10.1017/S0308210516000512

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	Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli
	Guo, Zongming 1; Mei, Linfeng 1; 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.