BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC

doi:10.1090/proc/14554

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	BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC
	Li, Jiayu 1,2; Wan, Fangshu 1
	2019-10-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	147 期号:10 页码:4527-4538
摘要	We generalize the Bocher-type theorem and give a sharp characterization of the behavior at the isolated singularities of a solution bounded on one side for the equation Delta(g)u = 0 on singular manifolds with conical metrics. Furthermore, we also obtain a Liouville-type result which demonstrates that the fundamental solution is the unique nontrivial solution of div(vertical bar x vertical bar(theta)del u) = 0 in R-n \ {0} that is bounded on one side in both a neighborhood of the origin as well as at infinity.
关键词	Laplace's equation Bocher-type theorem Liouville-type theorem singular manifolds conical metric
DOI	10.1090/proc/14554
语种	英语
资助项目	NSFC[11721101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000485719300033
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/33318
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.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China 2.AMSS CAS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiayu,Wan, Fangshu. BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,147(10):4527-4538.
APA	Li, Jiayu,&Wan, Fangshu.(2019).BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,147(10),4527-4538.
MLA	Li, Jiayu,et al."BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 147.10(2019):4527-4538.