Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures
From MaRDI portal
Publication:1637021
DOI10.1016/S0252-9602(17)30134-0zbMath1399.28005arXiv1512.08850OpenAlexW2963465683MaRDI QIDQ1637021
Publication date: 7 June 2018
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08850
Convex functions and convex programs in convex geometry (52A41) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An extension of Alexandrov's theorem on second derivatives of convex functions
- Hessian measures. I
- A geometrical approach to monotone functions in \(\mathbb{R}^n\)
- Graphs of finite mass which cannot be approximated in area by smooth graphs
- Graphs of finite mass which cannot be approximated by smooth graphs with equibounded area
- On the singularities of convex functions
- Approximation in area of continuous graphs
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Approximation in area of graphs with isolated singularities
- Hessian measures. II
- Hessian measures of semi-convex functions and applications to support measures of convex bodies
- A Steiner type formula for convex functions
- Generalised solutions of Hessian equations
- Steiner type formulae and weighted measures of singularities for semi-convex functions
- Set-valued analysis
- A characterization of graphs which can be approximated in area by smooth graphs
This page was built for publication: Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures