Lower order eigenvalues of Dirichlet Laplacian
文献类型：期刊论文
| 作者 | Sun, Hejun2; Cheng, Qing-Ming1; Yang, Hongcang3 |
| 刊名 | MANUSCRIPTA MATHEMATICA
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 125期号:2页码:139-156 |
| ISSN号 | 0025-2611 |
| DOI | 10.1007/s00229-007-0136-9 |
| 英文摘要 | In this paper, we investigate an eigenvalue problem for the Dirichlet Laplacian on a domain in an n-dimensional compact Riemannian manifold. First we give a general inequality for eigenvalues. As one of its applications, we study eigenvalues of the Laplacian on a domain in an n-dimensional complex projective space, on a compact complex submanifold in complex projective space and on the unit sphere. By making use of the orthogonalization of Gram-Schmidt (QR-factorization theorem), we construct trial functions. By means of these trial functions, estimates for lower order eigenvalues are obtained. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252475700001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5561]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cheng, Qing-Ming |
| 作者单位 | 1.Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan 2.Nanjing Univ Sci & Technol, Dept Appl Math, Coll Sci, Nanjing 210094, Peoples R China 3.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Hejun,Cheng, Qing-Ming,Yang, Hongcang. Lower order eigenvalues of Dirichlet Laplacian[J]. MANUSCRIPTA MATHEMATICA,2008,125(2):139-156. |
| APA | Sun, Hejun,Cheng, Qing-Ming,&Yang, Hongcang.(2008).Lower order eigenvalues of Dirichlet Laplacian.MANUSCRIPTA MATHEMATICA,125(2),139-156. |
| MLA | Sun, Hejun,et al."Lower order eigenvalues of Dirichlet Laplacian".MANUSCRIPTA MATHEMATICA 125.2(2008):139-156. |
入库方式： OAI收割
来源：数学与系统科学研究院
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