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.
|Autori:||Antonin, Chambolle; Michael, Goldman; Novaga, Matteo|
|Titolo:||Fine properties of the subdifferential for a class of one-homogeneous functionals|
|Anno del prodotto:||2015|
|Digital Object Identifier (DOI):||10.1515/acv-2012-0025|
|Appare nelle tipologie:||1.1 Articolo in rivista|