Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics
文献类型：期刊论文
| 作者 | Guo, Zongming3; Li, Jiayu1,2; Wan, Fangshu2 |
| 刊名 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2020-07-03 |
| 页码 | 35 |
| 关键词 | Semilinear elliptic equation asymptotic behavior conical metric isolated singularity |
| ISSN号 | 0360-5302 |
| DOI | 10.1080/03605302.2020.1784210 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11526212] ; NSFC[11131007] ; NSFC[11721101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000546420400001 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51783]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 3.Henan Normal Univ, Dept Math, Xinxiang, Henan, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。