Two-dimensional Berezin-Li-Yau inequalities with a correction term

DOI10.1007/s00220-008-0692-1zbMath1197.35182arXiv0802.2792OpenAlexW2020426616MaRDI QIDQ5962367

Timo Weidl, Hynek Kovařík, Semjon A. Vugalter

Publication date: 22 September 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2792

zbMATH Keywords

Berezin-Li-Yau inequalitiesDirichlet-Laplacian

Mathematics Subject Classification ID

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

Related Items (15)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Berezin-Li-Yau inequalities on domains on the sphere ⋮ Lower bounds for fractional Laplacian eigenvalues ⋮ Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem ⋮ Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain ⋮ On the remainder term of the Berezin inequality on a convex domain ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ A short proof of Weyl's law for fractional differential operators ⋮ An improvement to a Berezin-Li-Yau type inequality ⋮ SHARP SPECTRAL ESTIMATES IN DOMAINS OF INFINITE VOLUME ⋮ Lower bounds for sums of eigenvalues of elliptic operators and systems ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian ⋮ ESTIMATES FOR THE SUMS OF EIGENVALUES OF THE FRACTIONAL LAPLACIAN ON A BOUNDED DOMAIN ⋮ Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains ⋮ Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators

Cites Work

• On the Schrödinger equation and the eigenvalue problem
• Estimates for sums of eigenvalues of the Laplacian
• Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
• Segregation in the Falicov-Kimball model
• On the Eigenvalues of Vibrating Membranes^†
• Lower bound for the segregation energy in the Falicov Kimball model
• A lower bound for sums of eigenvalues of the Laplacian
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• Unnamed Item

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