Bounds for the ratios of the first three membrane eigenvalues
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Publication:2393926
DOI10.1007/BF00276187zbMath0125.14301OpenAlexW2081716831MaRDI QIDQ2393926
Publication date: 1964
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00276187
Related Items (17)
Proof of the Payne-Pólya-Weinberger conjecture ⋮ EIGENVALUES OF THE LAPLACIAN ON RIEMANNIAN MANIFOLDS ⋮ The PPW conjecture in curved spaces ⋮ Bounds for the third membrane eigenvalue ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Bounds for ratios of the membrane eigenvalues ⋮ On low eigenvalues of the Laplacian with mixed boundary conditions ⋮ Estimates for lower order eigenvalues of quadratic polynomials of the Laplacian ⋮ Lower order eigenvalues of Dirichlet Laplacian ⋮ Bounds for functions of eigenvalues of vibrating systems ⋮ Estimates on eigenvalues of Laplacian ⋮ Extremum problems for Laplacian eigenvalues with free boundary ⋮ On extending the inequalities of Payne, Pólya, and Weinberger using spherical harmonics ⋮ On conformal spectral gap estimates of the Dirichlet–Laplacian ⋮ On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian ⋮ INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER ⋮ The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
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