Sums of free membrane eigenvalues

DOI10.1007/BF02791506zbMath1077.30008MaRDI QIDQ2565923

Bodo Dittmar

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of conformal mappings (30C35)

Related Items (2)

Exact sum rules for inhomogeneous strings ⋮ On some isoperimetric inequalities involving eigenvalues of symmetric free membranes

Cites Work

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• Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space
• Extremals for eigenvalues of Laplacians under conformal mapping
• On symmetric membranes and conformal radius: Some complements to Polya's and Szegö's inequalities
• Extensions of an inequality by Pólya and Schiffer for vibrating membranes
• Convexity of functionals by transplantation
• On the characteristic frequencies of a symmetric membrane
• On upper bounds for high order Neumann eigenvalues of convex domains in Euclidean space
• Isoperimetric Inequality for Some Eigenvalues of an Inhomogeneous, Free Membrane
• Inequalities: theory of majorization and its applications

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