Extreme principles and isoperimetric inequalities for some mixed problems of Stekloff's type
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Publication:2529695
DOI10.1007/BF01591011zbMath0165.12603OpenAlexW2017362946MaRDI QIDQ2529695
Lawrence E. Payne, Joseph Hersch
Publication date: 1968
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01591011
Related Items (22)
The Cauchy process and the Steklov problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An isoperimetric inequality for the harmonic mean of the Steklov eigenvalues in hyperbolic space ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ The first Steklov eigenvalue, conformal geometry, and minimal surfaces ⋮ Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces ⋮ Upper bounds for the first non-zero Steklov eigenvalue via anisotropic mean curvatures ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ A lower bound for the first eigenvalue of a vibrating nonhomogeneous plate ⋮ Eigenvalue gaps for the Cauchy process and a Poincaré inequality ⋮ Edge waves: a long-wave theory for oceans of finite depth ⋮ Some inequalities for Stekloff eigenvalues ⋮ Shape optimization for low Neumann and Steklov eigenvalues ⋮ A Reilly inequality for the first Steklov eigenvalue ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains ⋮ Majorations de constantes de Steklov ⋮ Sloshing frequencies for a half-space with circular or strip-like aperture ⋮ Asymptotic eigenfunctions of mixed problems of Stekloff's type ⋮ On the first Steklov-Dirichlet eigenvalue for eccentric annuli
Cites Work
- Vibration of a nonhomogeneous membrane
- Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
- New isoperimetric inequalities for eigenvalues and other physical quantities
- Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates
- An isoperimetric sloshing problem
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