The set of regular values (in the sense of Clarke) of a Lipschitz map. A sufficient condition for rectifiability of class $C^3$

DOI10.4064/AP3923-9-2016zbMath1364.49057OpenAlexW2528622238MaRDI QIDQ2833620

Silvano Delladio

Publication date: 18 November 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap3923-9-2016

zbMATH Keywords

Whitney extension theoremgeometric measure theoryrectifiable sets

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Fractional partial differential equations (35R11)

Cites Work

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• A class of one-dimensional geometric variational problem with energy involving the curvature and its derivatives: a geometric measure-theoretic approach
• A sufficient condition for the \(C^H\)-rectifiability of Lipschitz curves
• On the structure of singular sets of convex functions
• Singular sets of convex bodies and surfaces with generalized curvatures
• Sard's theorem for mappings in Hölder and Sobolev spaces

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