A remark on Pólya's conjecture at low frequencies

DOI10.1007/s00013-018-1258-xzbMath1409.35157OpenAlexW2896269717WikidataQ122946889 ScholiaQ122946889MaRDI QIDQ1729729

Pedro Freitas

Publication date: 28 February 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1258-x

zbMATH Keywords

Dirichlet LaplacianWeyl lawPólya's conjectureEigenvalues, Faber-Krahn inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Pólya's conjecture for Euclidean balls ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres

Cites Work

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• A lower bound for sums of eigenvalues of the Laplacian
• Optimal spectral rectangles and lattice ellipses
• On an inequality concerning the eigenvalue problem of membrane

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