Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds
Joint Authors
Tan, Shenyang
Huang, Tiren
Zhang, Wenbin
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate the Dirichlet weighted eigenvalue problem of the elliptic operator in divergence form on compact Riemannian manifolds (M,g,e-ϕdv).
We establish a Yang-type inequality of this problem.
We also get universal inequalities for eigenvalues of elliptic operators in divergence form on compact domains of complete submanifolds admitting special functions which include the Hadamard manifolds with Ricci curvature bounded below and any complete manifolds admitting eigenmaps to a sphere.
American Psychological Association (APA)
Tan, Shenyang& Huang, Tiren& Zhang, Wenbin. 2015. Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052965
Modern Language Association (MLA)
Tan, Shenyang…[et al.]. Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds. Advances in Mathematical Physics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052965
American Medical Association (AMA)
Tan, Shenyang& Huang, Tiren& Zhang, Wenbin. Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052965