A general formula for the anisotropic outer Minkowski content of a set

DOI10.1017/S0308210515000542zbMath1345.28007MaRDI QIDQ5741038

Elena Villa, Luca Lussardi

Publication date: 20 July 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

anisotropyrectifiabilityMinkowski contentouter Minkowski content

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Mixed volumes and related topics in convex geometry (52A39)

Related Items (6)

On some non-local approximation of nonisotropic Griffith-type functionals ⋮ Anisotropic tubular neighborhoods of sets ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ On volume and surface densities of dynamical germ-grain models with ellipsoidal growth: a rigorous approach with applications to Materials Science ⋮ Dilation volumes of sets of finite perimeter

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• Continuous limits of discrete perimeters
• Nonparametric estimation of boundary measures and related functionals: asymptotic results
• Towards a universally consistent estimator of the Minkowski content

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