Sharp estimates of Hardy constants for domains with special boundary properties

DOI10.3103/S1066369X14020091zbMath1317.46020MaRDI QIDQ468082

I. K. Shafigullin, Farit G. Avkhadiev

Publication date: 5 November 2014

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

distance functionHardy inequalitiesHardy constants

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (18)

Rellich type inequalities in domains of the Euclidean space ⋮ A strong form of Hardy type inequalities on domains of the Euclidean space ⋮ Hardy-Rellich inequalities in domains of the Euclidean space ⋮ Brezis-Marcus type inequalities with Lamb constant ⋮ Hardy type inequalities involving gradient of distance function ⋮ Hardy and Rellich type inequalities with remainders ⋮ Rellich inequalities for polyharmonic operators in plane domains ⋮ Hardy-type inequalities with sharp constants in domains lambda-close to convex ⋮ Properties and applications of the distance functions on open sets of the Euclidean space ⋮ Sharp constants in Hardy type inequalities ⋮ Conformal invariants of hyperbolic planar domains ⋮ Characterizations of weighted Hardy-Rellich inequalities and their applications ⋮ Selected results and open problems on Hardy-Rellich and Poincaré-Friedrichs inequalities ⋮ The generalized Davies problem for polyharmonic operators ⋮ Hardy type inequalities on domains with convex complement and uncertainty principle of Heisenberg ⋮ Hardy type \(L_p\)-inequalities in \(r\)-close-to-convex domains ⋮ Conformally invariant inequalities in domains in Euclidean space ⋮ Hardy–Rellich integral inequalities in domains satisfying the exterior sphere condition

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• On the best constants for the Brezis-Marcus inequalities in balls
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• Families of domains with best possible Hardy constant
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• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• Hardy’s inequality for 𝑊^{1,𝑝}₀-functions on Riemannian manifolds
• THE HARDY CONSTANT
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains

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