Expansions for distributional solutions of the elliptic equation in two dimensions
文献类型：期刊论文
| 作者 | Li, Jiayu1,2; Wan, Fangshu1; Yang, Yunyan3 |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2022-09-01 |
| 卷号 | 24期号:07页码:27 |
| 关键词 | Asymptotic expansion Liouville equation singular solution |
| ISSN号 | 0219-1997 |
| DOI | 10.1142/S0219199721500188 |
| 英文摘要 | Assume Omega subset of R-2 is a planar domain, and u is a locally bounded distributional solution to the elliptic equation -triangle u - vertical bar x vertical bar(2 beta)h(x)f(u) in Omega, where beta > -1 is a constant, h and f are real analytic functions defined on Omega and the real line R, respectively. We establish asymptotic expansions of u(x) to arbitrary orders near 0, which complements the recent results of Han-Li-Li on the Yamabe equation, Guo-Li-Wanon the weighted Yamabe equation, and partly extends that of Guo-Wan-Yang on the Liouville equation in a punctured disc. Our method is a combination of a priori estimate and mathematical induction. |
| 资助项目 | National Key Research and Development Project[SQ2020YFA070080] ; National Science Foundation of China[11721101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000849678800004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61037]  |
| 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, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing 100190, Peoples R China 3.Renmin Univ China, Dept Math, Beijing 100872, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jiayu,Wan, Fangshu,Yang, Yunyan. Expansions for distributional solutions of the elliptic equation in two dimensions[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2022,24(07):27. |
| APA | Li, Jiayu,Wan, Fangshu,&Yang, Yunyan.(2022).Expansions for distributional solutions of the elliptic equation in two dimensions.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,24(07),27. |
| MLA | Li, Jiayu,et al."Expansions for distributional solutions of the elliptic equation in two dimensions".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 24.07(2022):27. |
入库方式： OAI收割
来源：数学与系统科学研究院
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