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

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.

Data and Resources

Additional Info

Field Value
Source ISSN: 1864-8266
Author Chambolle, Antonin, Goldman, Michael, Novaga, Matteo
Maintainer CCSD
Last Updated May 7, 2026, 19:19 (UTC)
Created May 7, 2026, 19:19 (UTC)
Identifier hal-00746958
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Centre de Mathématiques Appliquées de l'Ecole polytechnique (CMAP) ; Institut National de Recherche en Informatique et en Automatique (Inria)-École polytechnique (X) ; Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)
creator Chambolle, Antonin
date 2015-05-07T00:00:00
harvest_object_id c8d056d6-526f-464c-b9ba-c42a5566a38b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-04T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1210.8168
set_spec type:ART