On perimeters and volumes of fattened sets

DOI10.1155/2019/8283496zbMath1486.28003OpenAlexW2942014767WikidataQ127969521 ScholiaQ127969521MaRDI QIDQ2330290

Andrea C. G. Mennucci

Publication date: 28 October 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/8283496

zbMATH Keywords

fattened setsFlemin-Rishel coarea formula

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Conducting flat drops in a confining potential

Cites Work

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• Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
• An integral formula for total gradient variation
• Outer Minkowski content for some classes of closed sets
• Tubular neighborhoods in Euclidean spaces
• A local Steiner-type formula for general closed sets and applications
• Hamilton-Jacobi equations and distance functions on Riemannian manifolds
• Curvature Measures
• Variational Analysis
• Curvature-Driven Flows: A Variational Approach
• Banach-Like Distances and Metric Spaces of Compact Sets

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