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Licensed Unlicensed Requires Authentication Published by De Gruyter February 7, 2014

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

Antonin Chambolle, Michael Goldman and Matteo Novaga

Abstract

We collect some known results on the subdifferentials of a class of one-homogeneous functionals, which consist in anisotropic and nonhomogeneous variants of the total variation. It is known that the subdifferential at a point is the divergence of some “calibrating field”. We establish new relationships between Lebesgue points of a calibrating field and regular points of the level surfaces of the corresponding calibrated function.

Funding source: von Humboldt PostDoc fellowship

Funding source: ANR

Award Identifier / Grant number: ANR-12-BS01-0014-01 GEOMETRYA

Received: 2012-10-30
Revised: 2013-12-15
Accepted: 2013-12-18
Published Online: 2014-2-7
Published in Print: 2015-1-1

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