Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem

DOI10.1017/S0308210500029656zbMath0819.35104OpenAlexW2132573332WikidataQ59158294 ScholiaQ59158294MaRDI QIDQ4296643

Mark S. Ashbaugh, Rafael D. Benguria

Publication date: 24 August 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029656

zbMATH Keywords

Schrödinger operatorratios of the eigenvalues of the Dirichlet Laplacian on a bounded domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15)

Related Items

Range of the First Three Eigenvalues of the Planar Dirichlet Laplacian, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues, Rearrangement inequalities and applications to isoperimetric problems for eigenvalues, Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string, Bounds for Ratios of Eigenvalues of the Dirichlet Laplacian, An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift, Two new Weyl-type bounds for the Dirichlet Laplacian

Cites Work

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• An extremal eigenvalue problem
• On the Ratio of Consecutive Eigenvalues in N‐Dimensions