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
© 2015 by De Gruyter