On symmetric membranes and conformal radius: Some complements to Polya's and Szegö's inequalities

DOI10.1007/BF00282359zbMath0188.17202OpenAlexW2070192662MaRDI QIDQ2537222

Joseph Hersch

Publication date: 1965

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00282359

zbMATH Keywords

partial differential equations

Related Items

The spectral estimates for the Neumann-Laplace operator in space domains ⋮ Proof of the Payne-Pólya-Weinberger conjecture ⋮ Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms ⋮ On some isoperimetric inequalities involving eigenvalues of symmetric free membranes ⋮ On some isoperimetric inequalities involving eigenvalues of fixed membranes ⋮ Bounds for functions of eigenvalues of vibrating systems ⋮ Some inequalities for Stekloff eigenvalues ⋮ Über das Stekloffsche Eigenwertproblem: Isoperimetrische Ungleichungen für symmetrische Gebiete ⋮ Über Eigenfrequenzen einer mehrfach zusammenhängenden Membran: Erweiterung von isoperimetrischen Sätzen von Polya und Szegö ⋮ Extremals for eigenvalues of Laplacians under conformal mapping ⋮ Sums of free membrane eigenvalues ⋮ Some inequalities involving eigenvalues of the Neumann Laplacian ⋮ On the duration of stays of Brownian motion in domains in Euclidean space ⋮ Szegö--Weinberger Type Inequalities for Symmetric Domains with Holes

Cites Work

• Convexity of functionals by transplantation
• On the characteristic frequencies of a symmetric membrane
• On the Ratio of Consecutive Eigenvalues
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