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On singular sets of \(c\)-concave functions

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Publication:1649375
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DOI10.1007/s00229-017-0971-2zbMath1393.26015OpenAlexW2754928609MaRDI QIDQ1649375

Zoltán M. Balogh, Valentina Penso

Publication date: 5 July 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0971-2


zbMATH Keywords

singular set\(c\)-concave function


Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Hausdorff and packing measures (28A78)




Cites Work

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  • Semiconcave functions, Hamilton-Jacobi equations, and optimal control
  • The refractor problem in reshaping light beams
  • Mass transportation on sub-Riemannian manifolds
  • Stability of a 4th-order curvature condition arising in optimal transport theory
  • A geometrical approach to monotone functions in \(\mathbb{R}^n\)
  • Optimal mass transportation in the Heisenberg group.
  • On the singularities of convex functions
  • Distribution of Sets and Measures Along Planes
  • Sub-Riemannian Geometry and Optimal Transport
  • GENERALIZED DERIVATIVES AND DIFFERENTIABILITY ALMOST EVERYWHERE


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