SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS
文献类型：期刊论文
| 作者 | Li, Jiayu1,2 ; Zhu, Xiangrong3
|
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 13期号:5页码:741-763 |
| 关键词 | Energy identity approximate harmonic maps tension field Riemann surface |
| ISSN号 | 0219-1997 |
| DOI | 10.1142/S0219199711004427 |
| 英文摘要 | In this paper, we consider the elliptic systems Delta u = -Omega . del u + f, where u is an element of W-1,W-2(R-2, R-K) and f is an element of Lln(+) L, and Omega belongs to L-2(R-2, M-K(R) circle times R-2) which is antisymmetric. In the first part we prove a compactness theorem for this system. As a corollary, we obtain the compactness theorem for a sequence of mappings from a Riemannian surface to a compact Riemannian manifold with tension fields bounded in Lln(+) L. In the second part we prove the energy identity for a sequence of mappings from a surface to a sphere with tension fields bounded in Lln(+) L. In the last section we construct a blow-up sequence of mappings from B-1 to S-2 with tension fields bounded in Lln(+) L but there exists a neck with positive length during blowing up. |
| 资助项目 | NSFC[11071236] ; NSFC[11131007] ; NSFC[11101372] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000296624200002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11779]  |
| 专题 | 数学所 |
| 通讯作者 | Li, Jiayu |
| 作者单位 | 1.Univ Sci & Technol China, Wu Wenjun Key Lab, Sch Math Sci, Hefei 230026, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jiayu,Zhu, Xiangrong. SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2011,13(5):741-763. |
| APA | Li, Jiayu,&Zhu, Xiangrong.(2011).SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,13(5),741-763. |
| MLA | Li, Jiayu,et al."SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 13.5(2011):741-763. |
入库方式： OAI收割
来源：数学与系统科学研究院
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