English

Fine properties of the subdifferential for a class of one-homogeneous functionals

Analysis of PDEs 2013-12-17 v2

Abstract

We collect here some known results on the subdifferential of one-homogeneous functionals, which are anisotropic and nonhomogeneous variants of the total variation and establish a new relationship between Lebesgue points of the calibrating field and regular points of the level lines of the corresponding calibrated function.

Keywords

Cite

@article{arxiv.1210.8168,
  title  = {Fine properties of the subdifferential for a class of one-homogeneous functionals},
  author = {Antonin Chambolle and Michael Goldman and Matteo Novaga},
  journal= {arXiv preprint arXiv:1210.8168},
  year   = {2013}
}