Lower order eigenvalues of Dirichlet Laplacian

doi:10.1007/s00229-007-0136-9

CSpace

	Lower order eigenvalues of Dirichlet Laplacian
	Sun, Hejun 2; Cheng, Qing-Ming 1; Yang, Hongcang 3
	2008-02-01
发表期刊	MANUSCRIPTA MATHEMATICA
ISSN	0025-2611
卷号	125 期号:2 页码:139-156
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.
DOI	10.1007/s00229-007-0136-9
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000252475700001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5562
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.