Families of domains with best possible Hardy constant

DOI10.3103/S1066369X13090077zbMath1288.26015MaRDI QIDQ2439365

Farit G. Avkhadiev

Publication date: 14 March 2014

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

zbMATH Keywords

distance functionHardy inequalitiesnon-convex domainsLamb-type equationmodules of rings

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Sharp constants in Hardy type inequalities ⋮ Shape sensitivity analysis of the Hardy constant ⋮ Sharp estimates of Hardy constants for domains with special boundary properties ⋮ Monotonicity, continuity and differentiability results for the \(L^{p}\) Hardy constant ⋮ On the Hardy Constant of Some Non-convex Planar Domains ⋮ Hardy type \(L_p\)-inequalities in \(r\)-close-to-convex domains

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp Hardy-type inequalities with Lamb's constant
• Weighted Hardy inequalities with sharp constants
• Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space
• Hardy type inequalities in higher dimensions with explicit estimate of constants
• Hardy-type inequalities on planar and spatial open sets
• On a question of Brezis and Marcus
• The best possible constant in generalized Hardy's inequality for convex domain in rn
• The Convexity of a Domain and the Superharmonicity of the Signed Distance Function
• On the best constant for Hardy’s inequality in $\mathbb {R}^n$
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• THE HARDY CONSTANT
• Hardy Inequalities for Nonconvex Domains
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains

This page was built for publication: Families of domains with best possible Hardy constant