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ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN
Chen, Daguang1; Zheng, Tao2; Yang, Hongcang3
2016-06-01
Source PublicationPACIFIC JOURNAL OF MATHEMATICS
ISSN0030-8730
Volume282Issue:2Pages:293-311
AbstractFor 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.
KeywordLaplacian consecutive eigenvalues test function Riemannian manifold hyperbolic space
DOI10.2140/pjm.2016.282.293
Language英语
Funding ProjectNSFC[11271213] ; NSFC[11471180] ; NSFC[11401023] ; Beijing Institute of Technology[20131742009] ; Beijing Institute of Technology[20141742002] ; SF of CAS ; [2014M550620] ; [2015T80040]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000377710200003
PublisherPACIFIC JOURNAL MATHEMATICS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22860
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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