Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hsu, YJ | en_US |
dc.contributor.author | Wang, TH | en_US |
dc.date.accessioned | 2014-12-08T15:43:09Z | - |
dc.date.available | 2014-12-08T15:43:09Z | - |
dc.date.issued | 2001-12-01 | en_US |
dc.identifier.issn | 1027-5487 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/29205 | - |
dc.description.abstract | Let M be a domain in the unit n-sphere with smooth boundary. The purpose of this paper is to describe some inequalities between Dirichlet and Neumann eigenvalues for M under certain convex restrictions on the boundary. We prove that if the mean curvature of the boundary is nonpositive, then the kth nonzero Neumann eigenvalue is less than or equal to the kth Dirichlet eigenvalue for k = 1, 2, Furthermore, if the second fundamental form of the boundary is nonpositive, then the (k + [n-1/2])th nonzero Neumann eigenvalue is less than or equal to the kth Dirichlet eigenvalue for k = 1, 2, (. . .). | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Laplace-Beltrami operator | en_US |
dc.subject | Dirichlet eigenvalue | en_US |
dc.subject | Neumann eigenvalue | en_US |
dc.title | Inequalities between Dirichlet and Neumann eigenvalues for domains in spheres | en_US |
dc.type | Article | en_US |
dc.identifier.journal | TAIWANESE JOURNAL OF MATHEMATICS | en_US |
dc.citation.volume | 5 | en_US |
dc.citation.issue | 4 | en_US |
dc.citation.spage | 755 | en_US |
dc.citation.epage | 766 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000173556800005 | - |
dc.citation.woscount | 4 | - |
Appears in Collections: | Articles |