A note on BV capacities on Grushin spaces

DOI10.1007/s00013-018-1174-0zbMath1401.53024OpenAlexW2797294962MaRDI QIDQ1656518

Yu Liu, Guo-liang Li

Publication date: 10 August 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1174-0

zbMATH Keywords

isoperimetric inequalitysub-Riemannian manifoldsGrushin spacesBV capacity

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• Isoperimetric problem in \(H\)-type groups and Grushin spaces
• BV capacity on generalized Grushin plane
• The sharp Sobolev and isoperimetric inequalities split twice
• Functions of bounded variation on ``good metric spaces
• The BV-capacity in metric spaces
• Lectures on analysis on metric spaces
• Fine properties of sets of finite perimeter in doubling metric measure spaces
• Isoperimetric inequality in the Grushin plane
• Sets of finite perimeter associated with vector fields and polyhedral approximation
• Lebesgue points and capacities via boxing inequality in metric spaces
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Surface measures in Carnot-Carathéodory spaces

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