Lower semicontinuity of a class of functionals in \(\text{SBV}_H\)

DOI10.1007/S11766-005-0033-5zbMath1063.49014OpenAlexW2035800015MaRDI QIDQ1775273

Fei Long, Ying-Qing Song, Xiao-Ping Yang

Publication date: 6 May 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-005-0033-5

zbMATH Keywords

integral functionalsminimizersHeisenberg grouplower semicontinuityvariational integralsLusin approximation\(\text{SBV}_H\) function

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

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• Decomposition of BV functions in Carnot-Carathéodory spaces
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
• Rectifiability and perimeter in the Heisenberg group
• Surface measures in Carnot-Carathéodory spaces

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