Two consequences of Davies' Hardy inequality

DOI10.1134/S0016266321020106zbMath1482.35019arXiv2011.11830OpenAlexW3213023842MaRDI QIDQ2246836

Rupert L. Frank, Simon Larson

Publication date: 16 November 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11830

zbMATH Keywords

Dirichlet problemHardy inequalityspectral counting function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (1)

A remark on Davies' Hardy inequality

Cites Work

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• Hardy-Sobolev-Maz'ya inequalities for arbitrary domains
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
• Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains
• Can one see the fundamental frequency of a drum?
• The uncertainty principle

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