On Rayleigh's formula for the first Dirichlet eigenvalue of a radial perturbation of a ball

DOI10.1007/s12220-012-9293-5zbMath1302.35270OpenAlexW2134762459MaRDI QIDQ363221

M. Berg van den

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-012-9293-5

zbMATH Keywords

first Dirichlet eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods for eigenvalues of operators (49R05)

Related Items (2)

Domain dependence of eigenvalues of elliptic type operators ⋮ Sharp spectral bounds on starlike domains

Cites Work

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• Hadamard's formula inside and out
• Laplace eigenvalues on regular polygons: a series in \(1/N\)
• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• On the Hadamard formula for nonsmooth domains
• On the Hadamard Formula for Second Order Systems in Non-Smooth Domains
• Range of the first two eigenvalues of the laplacian
• Minimising convex combinations of low eigenvalues

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