Some new results about the geometry of sets of finite perimeter

DOI10.1017/S0308210515000396zbMath1336.28003MaRDI QIDQ2799611

Silvano Delladio

Publication date: 13 April 2016

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

zbMATH Keywords

sets of finite perimeterinfinitesimal Euclideanitytopology and geometry of sets

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (3)

A closure result for differential forms in the context of superdensity, approximation of measurable functions by density-degree functions ⋮ Approximate continuity and differentiability with respect to density degree, an application to BV and Sobolev functions ⋮ \(m\)-approximate Taylor polynomial

Cites Work

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• On the shape of liquid drops and crystals in the small mass regime
• B2-convexity implies strong and weak lower semicontinuity of partitions of \(\mathbb R^{n}\)
• A mass transportation approach to quantitative isoperimetric inequalities
• Erratum to ``Some remarks on Legendrian rectifiable currents
• Microstructures with finite surface energy: The two-well problem
• The multidimensional Luzin theorem
• Are Natural Images of Bounded Variation?
• A SHORT NOTE ON ENHANCED DENSITY SETS
• Morse-Sard theorem for d.c. functions and mappings on $\mathbb{R}^2$

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