Über die Rayleighsche Vermutung: Unter allen Platten von gegebener Fläche und konstanter Dichte und Elastizität hat die kreisförmige den tiefsten Grundton

DOI10.1007/BF02417012zbMath0315.35036OpenAlexW1982443895MaRDI QIDQ1221049

Ernst Mohr

Publication date: 1975

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02417012

Mathematics Subject Classification ID

Related Items (9)

On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions ⋮ Minimizing eigenvalues for inhomogeneous rods and plates ⋮ Rellich type identities for eigenvalue problems and application to the Pompeiu problem ⋮ Minimization of the buckling load of a clamped plate with perimeter constraint ⋮ Towards the optimality of the ball for the Rayleigh conjecture concerning the clamped plate ⋮ Optimality conditions for the buckling of a clamped plate ⋮ Unnamed Item ⋮ A few shape optimization results for a biharmonic Steklov problem ⋮ Optimal shape of a domain which minimizes the first buckling eigenvalue

Cites Work

• Darstellung der Eigenwerte von \(\Delta u+\lambda u=0\) durch ein Randintegral
• NOTE TO MY PAPER “ON MEMBRANES AND PLATES”
• On Membranes and Plates
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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• Unnamed Item
• Unnamed Item

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