Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian

DOI10.4171/JST/234zbMath1402.58020arXiv1607.02207OpenAlexW2963845575WikidataQ129057158 ScholiaQ129057158MaRDI QIDQ1624169

Joachim Stubbe, Evans M. II. Harrell

Publication date: 15 November 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02207

zbMATH Keywords

Dirichlet LaplacianRiesz meanNeumann Laplaciansemiclassical bounds for eigenvalues

Mathematics Subject Classification ID

Variational inequalities (49J40) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Eigenvalue bounds of mixed Steklov problems ⋮ Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain ⋮ Families of non-tiling domains satisfying Pólya’s conjecture ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains

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