On some isoperimetric inequalities involving eigenvalues of fixed membranes

DOI10.1016/j.aml.2015.05.011zbMath1328.35129OpenAlexW571373292MaRDI QIDQ894396

G. A. Philippin, Cristian Enache

Publication date: 30 November 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.05.011

zbMATH Keywords

conformal mappingDirichlet eigenvaluesisoperimetric inequalitiesfixed membrane

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Cites Work

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• On symmetric membranes and conformal radius: Some complements to Polya's and Szegö's inequalities
• Some inequalities involving eigenvalues of the Neumann Laplacian
• On some isoperimetric inequalities involving eigenvalues of symmetric free membranes
• On the Ratio of Consecutive Eigenvalues
• Proof of the Payne-Pólya-Weinberger conjecture
• Isoperimetric Inequalities and Their Applications
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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