Rigidity theorem for harmonic maps with complex normal boundary conditions | |
Li, Song-Ying1; Luo, Jie2,3 | |
刊名 | INTERNATIONAL JOURNAL OF MATHEMATICS |
2019-12-01 | |
卷号 | 30期号:13页码:18 |
关键词 | Harmonic maps Pluriharmonic maps Rigidity theorem Neumann problem |
ISSN号 | 0129-167X |
DOI | 10.1142/S0129167X19400019 |
英文摘要 | Let B-n be the open unit ball in C-n and let (M-m, g) be a Kahler manifold with strongly negative or strongly semi-negative curvature. In this paper, we study Siu type rigidity theorem for the harmonic map u is an element of C-2 ((B-n) over bar , A4) satisfying the boundary condition that Sigma(n)(i,j=1) z(i)(z) over bar (j)u(i)(j) over bar = 0 on partial derivative B-n We also prove the existence and uniqueness theorem for some Neumann type boundary value problem for harmonic functions on B-n. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
WOS记录号 | WOS:000503464900002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50510] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, Song-Ying |
作者单位 | 1.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Song-Ying,Luo, Jie. Rigidity theorem for harmonic maps with complex normal boundary conditions[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2019,30(13):18. |
APA | Li, Song-Ying,&Luo, Jie.(2019).Rigidity theorem for harmonic maps with complex normal boundary conditions.INTERNATIONAL JOURNAL OF MATHEMATICS,30(13),18. |
MLA | Li, Song-Ying,et al."Rigidity theorem for harmonic maps with complex normal boundary conditions".INTERNATIONAL JOURNAL OF MATHEMATICS 30.13(2019):18. |
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