Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics

doi:10.1080/03605302.2020.1784210

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	Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics
	Guo, Zongming 1; Li, Jiayu 2,3; Wan, Fangshu 2
	2020-07-03
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
页码	35
摘要	We present the sharp characterization of the behavior at the isolated singularities of positive solutions of some equations on singular manifolds with conical metrics. It is seen that the equations on singular manifolds with conical metrics are equivalent to weighted elliptic equations in B\{0}, where B subset of R-N is the unit ball. The weights can be singular at x = 0. We present the sharp asymptotic behavior of positive solutions of the weighted elliptic equations at x = 0 and establish expansions of these solutions up to arbitrary orders. Asymptotic behavior at the isolated singularitie of positive solutions of elliptic equations without weights has been studied by many authors. We will obtain new results on the asymptotic behavior at the isolated singularities even for positive solutions of equations without weights in the subcritical case.
关键词	Semilinear elliptic equation asymptotic behavior conical metric isolated singularity
DOI	10.1080/03605302.2020.1784210
收录类别	SCI
语种	英语
资助项目	NSFC[11526212] ; NSFC[11131007] ; NSFC[11721101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000546420400001
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51784
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jiayu
作者单位	1.Henan Normal Univ, Dept Math, Xinxiang, Henan, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Guo, Zongming,Li, Jiayu,Wan, Fangshu. Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2020:35.
APA	Guo, Zongming,Li, Jiayu,&Wan, Fangshu.(2020).Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,35.
MLA	Guo, Zongming,et al."Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2020):35.