Improved Hardy inequalities in the Grushin plane

DOI10.1016/j.jmaa.2012.04.010zbMath1248.26025OpenAlexW1990105627MaRDI QIDQ432408

Dan Su, Qiao-Hua Yang

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.010

zbMATH Keywords

Sobolev inequalityHardy inequalityGrushin operator

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)

Related Items (3)

Improved Hardy inequalities for Grushin operators ⋮ Several Hardy-type inequalities with weights related to Baouendi–Grushinoperators ⋮ Hardy type inequalities for Δ_λ-Laplacians

Cites Work

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• Corrigendum to ``Optimizing improved Hardy inequalities [J. Funct. Anal. 192 (2002) 186-233]
• On the best constant of Hardy-Sobolev inequalities
• Polar coordinates in Carnot groups
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Kelvin transform for Grushin operators and critical semilinear equations
• On the Grushin operator and hyperbolic symmetry
• Weighted sobolev-poincaré inequalities for grushin type operators
• Hardy inequalities related to Grushin type operators
• Best constants for Moser-Trudinger inequalities on the Heisenberg group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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