Continuity results for TV-minimizers
  This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the prescribed mean curvature problem satisfied by the level-sets of such minimizers. 
Gwenael Mercier
math.FA math.AP math.DG