Locality of the perimeter in Carnot groups and chain rule

DOI10.1007/S10231-010-0130-9zbMath1203.28001OpenAlexW2060061903WikidataQ124906083 ScholiaQ124906083MaRDI QIDQ711462

Matteo Scienza, Luigi Ambrosio

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0130-9

zbMATH Keywords

BV functions

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35) Length, area, volume, other geometric measure theory (28A75)

Related Items (7)

Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries ⋮ Harmonic intrinsic graphs in the Heisenberg group ⋮ Sub-elliptic boundary value problems in flag domains ⋮ Minimal surfaces and harmonic functions in the Heisenberg group ⋮ Indecomposable sets of finite perimeter in doubling metric measure spaces ⋮ The Gauss-Green theorem in stratified groups ⋮ Fine properties of functions with bounded variation in Carnot-Carathéodory spaces

Cites Work

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• On the structure of finite perimeter sets in step 2 Carnot groups
• Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane
• Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
• Sobolev met Poincaré
• Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces

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