On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics

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On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics

Mark S. Ashbaugh and Lotfi Hermi

Source: Rocky Mountain J. Math. Volume 38, Number 4 (2008), 1037-1072.

First Page: Show

Primary Subjects: 35P15

Secondary Subjects: 58G25, 49Rxx

Keywords: Eigenvalues of the Laplacian; Dirichlet eigenvalue problem for domains in Euclidean space; Payne-Pólya-Weinberger inequality; HileProtter inequality; H.C. Yang inequality; domain-dependent inequalities for eigenvalues

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1214947601
Digital Object Identifier: doi:10.1216/RMJ-2008-38-4-1037
Mathematical Reviews number (MathSciNet): MR2435913
Zentralblatt MATH identifier: 1184.35232

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