ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN

doi:10.2140/pjm.2016.282.293

	ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN
	Chen, Daguang 1; Zheng, Tao 2; Yang, Hongcang 3
刊名	PACIFIC JOURNAL OF MATHEMATICS
	2016-06-01
卷号	282 期号:2 页码:293-311
关键词	Laplacian consecutive eigenvalues test function Riemannian manifold hyperbolic space
ISSN号	0030-8730
DOI	10.2140/pjm.2016.282.293
英文摘要	For the eigenvalue problem of the Dirichlet Laplacian on a bounded domain in Euclidean space R-n, we obtain estimates for the upper bounds of the gaps between consecutive eigenvalues which are the best possible in terms of the orders of the eigenvalues. Therefore, it is reasonable to conjecture that this type of estimate also holds for the eigenvalue problem on a Riemannian manifold. We give some particular examples.
资助项目	NSFC[11271213] ; NSFC[11471180] ; NSFC[11401023] ; Beijing Institute of Technology[20131742009] ; Beijing Institute of Technology[20141742002] ; SF of CAS ; [2014M550620] ; [2015T80040]
WOS研究方向	Mathematics
语种	英语
出版者	PACIFIC JOURNAL MATHEMATICS
WOS记录号	WOS:000377710200003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22859]
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.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Daguang,Zheng, Tao,Yang, Hongcang. ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN[J]. PACIFIC JOURNAL OF MATHEMATICS,2016,282(2):293-311.
APA	Chen, Daguang,Zheng, Tao,&Yang, Hongcang.(2016).ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN.PACIFIC JOURNAL OF MATHEMATICS,282(2),293-311.
MLA	Chen, Daguang,et al."ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN".PACIFIC JOURNAL OF MATHEMATICS 282.2(2016):293-311.