A characterization of sets in ${\mathbb R}^2$ with DC distance function

DOI10.21136/CMJ.2021.0228-20MaRDI QIDQ5071591

Dušan Pokorný, Luděk Zajíček

Publication date: 22 April 2022

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04303

zbMATH Keywords

distance functionDC functionsubset of \(\mathbb{R}^2\)

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• On functions representable as a difference of convex functions
• On concepts of directional differentiability
• On sets in \(\mathbb{R}^d\) with DC distance function
• Kinematic formulas for sets defined by differences of convex functions
• Normal cycles and curvature measures of sets with d.c. boundary
• On difference convexity of locally Lipschitz functions
• On vector functions of bounded convexity
• Curves with finite turn
• Remarks on WDC sets
• On the structure of WDC sets
• Integral Geometric Regularity
• Convex analysis and global optimization

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