Range of the First Three Eigenvalues of the Planar Dirichlet Laplacian

DOI10.1112/S1461157000000346zbMath1051.35049arXivmath/0203231OpenAlexW2047734849MaRDI QIDQ4827605

Rustem Yagudin, Michael Levitin

Publication date: 18 November 2004

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203231

zbMATH Keywords

a priori estimateseigenvaluesDirichlet Laplacianbounded domainisoperimetric estimatesuniversal estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues, Bounds for ratios of the membrane eigenvalues, On the inverse spectral problem for Euclidean triangles, On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian

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