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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
MathSciNet review:
1825917
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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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Additional Information:
Leonid
Friedlander
Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email:
friedlan@math.arizona.edu
DOI:
10.1090/S0002-9939-00-05837-8
PII:
S 0002-9939(00)05837-8
Received by editor(s):
November 15, 1999
Posted:
November 30, 2000
Communicated by:
Józef Dodziuk
Copyright of article:
Copyright
2000,
American Mathematical Society
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