On sums of eigenvalues of elliptic operators on manifolds

DOI10.4171/JST/183zbMath1382.58023arXiv1507.02632OpenAlexW1583990927MaRDI QIDQ680703

Ahmad El Soufi, Joachim Stubbe, Said Ilias, Evans M. II. Harrell

Publication date: 26 January 2018

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

Full work available at URL: https://arxiv.org/abs/1507.02632

zbMATH Keywords

eigenvalueupper boundSchrödinger operatorphase spacehomogeneous spaceWeyl lawWitten Laplacianmanifold with densityconformalweighted Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eigenvalue problems for linear operators (47A75)

Related Items (7)

Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian ⋮ Berezin-Li-Yau inequalities on domains on the sphere ⋮ Eigenvalue bounds of mixed Steklov problems ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ Spectrum of the Laplacian with weights ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ On the spectral asymptotics for the buckling problem

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