Extrinsic estimates for eigenvalues of the Laplace operator

doi:10.2969/jmsj/06020325

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	Extrinsic estimates for eigenvalues of the Laplace operator
	Chen, Daguang 1; Cheng, Qing-Ming 2
	2008-04-01
发表期刊	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN	0025-5645
卷号	60 期号:2 页码:325-339
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.
DOI	10.2969/jmsj/06020325
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000255491000002
出版者	MATH SOC JAPAN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5351
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.