The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups

DOI10.1016/j.na.2015.12.029zbMath1334.28005OpenAlexW2254874995WikidataQ124963777 ScholiaQ124963777MaRDI QIDQ265548

Peibiao Zhao, Guoqing He

Publication date: 4 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.12.029

zbMATH Keywords

Carnot groupweighted isoperimetric-type inequalityweighted Sobolev-type inequality

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Length, area, volume, other geometric measure theory (28A75) Inequalities for sums, series and integrals (26D15) Sub-Riemannian geometry (53C17)

Related Items

Weighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(| x|^{p}\) ⋮ The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with density ⋮ A weighted quantitative isoperimetric inequality for Korányi sphere in Heisenberg group ℍ^n

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