Extrinsic estimates for eigenvalues of the Laplace operator
文献类型：期刊论文
| 作者 | Chen, Daguang1; Cheng, Qing-Ming2 |
| 刊名 | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
 |
| 出版日期 | 2008-04-01 |
| 卷号 | 60期号:2页码:325-339 |
| ISSN号 | 0025-5645 |
| DOI | 10.2969/jmsj/06020325 |
| 英文摘要 | For a bounded domain in a complete Riemannian manifold M-n isometrically immersed in a Euclidean space, we derive extrinsic estimates for eigenvalues of the Dirichlet eigenvalue problem of the Laplace operator, which depend on the mean curvature of the immersion. Further, we also obtain an upper bound for the (k + 1)(th) eigenvalue, which is best possible in the meaning of order on k. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255491000002 |
| 出版者 | MATH SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5350]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Daguang |
| 作者单位 | 1.CAS, Acad Math & Systemat Sci, Inst Math, Beijing 100080, Peoples R China 2.Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan |
| 推荐引用方式 GB/T 7714 | Chen, Daguang,Cheng, Qing-Ming. Extrinsic estimates for eigenvalues of the Laplace operator[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,2008,60(2):325-339. |
| APA | Chen, Daguang,&Cheng, Qing-Ming.(2008).Extrinsic estimates for eigenvalues of the Laplace operator.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,60(2),325-339. |
| MLA | Chen, Daguang,et al."Extrinsic estimates for eigenvalues of the Laplace operator".JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 60.2(2008):325-339. |
入库方式： OAI收割
来源：数学与系统科学研究院
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