In this paper we study the notion of perimeter associated with doubling metric measures or strongly A∞ weights. We prove that the metric perimeter in the sense of L. Ambrosio and M. Miranda jr. coincides with the metric Minkowski content and can be obtained also as a Γ-limit of Modica-Mortola type degenerate integral functionals.
Baldi, A., Franchi, B. (2003). A Γ-convergence result for doubling metric measures and associated perimeters. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 16(3), 283-298 [10.1007/s005260100151].
A Γ-convergence result for doubling metric measures and associated perimeters
Baldi A.;Franchi B.
2003
Abstract
In this paper we study the notion of perimeter associated with doubling metric measures or strongly A∞ weights. We prove that the metric perimeter in the sense of L. Ambrosio and M. Miranda jr. coincides with the metric Minkowski content and can be obtained also as a Γ-limit of Modica-Mortola type degenerate integral functionals.File in questo prodotto:
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