Optimal Hardy-type inequalities for elliptic operators

DOI10.1016/j.crma.2012.04.020zbMath1276.35010OpenAlexW2081312288MaRDI QIDQ432678

Martin Fraas, Yehuda Pinchover, Baptiste Devyver

Publication date: 4 July 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.04.020

zbMATH Keywords

Hardy weightsymmetric and nonsymmetric operators

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Green's functions for elliptic equations (35J08)

Related Items (3)

Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line ⋮ Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon ⋮ Hardy inequalities on Riemannian manifolds and applications

Cites Work

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• Optimal Hardy inequalities for general elliptic operators with improvements
• On the structure of Hardy-Sobolev-Maz'ya inequalities
• Hardy inequalities on non-compact Riemannian manifolds
• Weighted Poincaré inequality and rigidity of complete manifolds
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• Some results and examples about the behavior of harmonic functions and Green’s functions with respect to second order elliptic operators
• Role of the fundamental solution in Hardy—Sobolev-type inequalities

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