6 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
The Total Variation-Wasserstein Problem
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
In this work we analyze the Total Variation-Wasserstein minimization problem. We propose an alternative form of deriving optimality conditions from the approach of Calier\&Poon'18,…
A simple phase-field approximation of the Steiner problem in dimension two
A. Chambolle, B. Merlet, L. Ferrari
In this paper we consider the branched transportation problem in 2D associated with a cost per unit length of the form where denotes the amount of transported mass and…
Energy release rate for non smooth cracks in planar elasticity
Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant
This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density at the tip. First, the blow-up limit o…
Plane-like minimizers and differentiability of the stable norm
Antonin Chambolle, Michael Goldman, Matteo Novaga
In this paper we investigate the strict convexity and the differentiability properties of the stable norm, which corresponds to the homogenized surface tension for a periodic perim…