Nonlinear elliptic equations on the upper half space
文献类型：期刊论文
| 作者 | Tang, Sufang1; Wang, Lei2,3,4; Zhu, Meijun4 |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2022-02-01 |
| 卷号 | 24期号:01页码:20 |
| ISSN号 | 0219-1997 |
| 关键词 | Curvature equation Kelvin transform moving plane method moving sphere method |
| DOI | 10.1142/S0219199720500856 |
| 英文摘要 | In this paper, we shall classify all positive solutions of Delta u = au(p) on the upper half space H = R-+(n) with nonlinear boundary condition partial derivative u/partial derivative t = bu(q) on partial derivative H for parameters a > 0 and b < 0. We will prove that for p >= (n + 2)/(n - 2), 1 <= q < n/(n - 2) or p > (n + 2)/(n - 2), 1 <= q <= n/(n - 2) (and n >= 3) all positive solutions are functions of last variable; for p= (n + 2)/(n - 2), q= n/(n - 2) (and n >= 3) positive solutions must be either some functions depending only on last variable, or radially symmetric functions. |
| 资助项目 | China Scholarship Council ; National Natural Science Foundation of China[11571344] ; Natural Science Basic Research Plan in Shaanxi Province of China[2017JQ1022] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| WOS记录号 | WOS:000752945700003 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59992]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, Meijun |
| 作者单位 | 1.Xian Univ Finance & Econ, Sch Stat, Xian 710100, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Oklahoma, Dept Math, Norman, OK 73019 USA |
| 推荐引用方式 GB/T 7714 | Tang, Sufang,Wang, Lei,Zhu, Meijun. Nonlinear elliptic equations on the upper half space[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2022,24(01):20. |
| APA | Tang, Sufang,Wang, Lei,&Zhu, Meijun.(2022).Nonlinear elliptic equations on the upper half space.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,24(01),20. |
| MLA | Tang, Sufang,et al."Nonlinear elliptic equations on the upper half space".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 24.01(2022):20. |
入库方式： OAI收割
来源：数学与系统科学研究院
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