Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions

DOI10.7153/mia-2021-24-27zbMath1467.35015OpenAlexW3157524277MaRDI QIDQ4991580

Naoki Hamamoto, Futoshi Takahashi

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-27

zbMATH Keywords

the best constantcurl-free vector fieldscritical Hardy-Leray inequality

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Solenoidal improvement of Rellich-Hardy inequalities with power weights ⋮ Sharp uncertainty principle inequality for solenoidal fields

Cites Work

• Unnamed Item
• Sharp Hardy-Leray inequality for axisymmetric divergence-free fields
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl
• A generalization of the Hardy inequality
• Sharp Hardy-Leray inequality for curl-free fields with a remainder term
• Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields
• Three-dimensional sharp Hardy-Leray inequality for solenoidal fields
• Sharp Rellich-Leray inequality for axisymmetric divergence-free vector fields
• A simple proof of Hardy's inequality in a limiting case

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