BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC
文献类型：期刊论文
| 作者 | Li, Jiayu1,2; Wan, Fangshu2 |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2019-10-01 |
| 卷号 | 147期号:10页码:4527-4538 |
| 关键词 | Laplace's equation Bocher-type theorem Liouville-type theorem singular manifolds conical metric |
| ISSN号 | 0002-9939 |
| DOI | 10.1090/proc/14554 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11721101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000485719300033 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [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.AMSS CAS, Beijing 100190, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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