Bounds on the multiplicity of eigenvalues for fixed membranes

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dc.creatorHoffman-Ostenhof, Thomas
dc.creatorMichor, Peter W.
dc.creatorNadirashvili, Nikolai
dc.date1998-01-20
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:23:38Z
dc.date.available2026-07-07T05:23:38Z
dc.descriptionFor a membrane in the plane the multiplicity of the $k$-th eigenvalue is known to be not greater than $2k-1$. Here we prove that it is actually not greater than $2k-3$, for $k\ge 3$.
dc.descriptionAmSTeX, epsf.tex, 17 encapsulated postscript figures, 17 pages. Third version with minor stylistic improvements
dc.identifierhttps://arxiv.org/abs/math/9801090
dc.identifierhttp://arxiv.org/abs/math/9801090
dc.identifierGeometric And Functional Analysis (GAFA). Vol. 9 (1999), 1169-1188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76514
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35B05, 35P15, 58G25
dc.titleBounds on the multiplicity of eigenvalues for fixed membranes
dc.typetext

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