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. 
Antonin Chambolle (CMAP), Michael Goldman (MPI-MIS), Matteo Novaga
math.AP