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An inequality between Dirichlet and Neumann eigenvalues in a centrally symmetric domain

Author(s): Leonid Friedlander
Journal: Proc. Amer. Math. Soc. 129 (2001), 2057-2060.
MSC (1991): Primary 35P15; Secondary 58G25
Posted: November 30, 2000
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Abstract | References | Similar articles | Additional information

Abstract: We prove an inequality between Dirichlet and Neumann eigenvalues of the Laplacian in a centrally symmetric Euclidean domain.

References:

[1]: D.Jerison, N.Nadirashvili, The ``Hot spots'' conjecture for domains with two axes of symmetry, Preprint.
[2]: H.A.Levine, H.F.Weinberger, Inequalities between Dirichlet and Neumann eigenvalues, Arch. Rat. Mech. Anal. 94 (1986), 193-208. MR 87k:35186


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