L. Ambrosio, N. Fusco, and D. Pallara, Free Discontinuity Problems and Special Functions with Bounded Variation, 2000.
DOI : 10.1007/978-3-0348-8974-2_2

J. Bertrand, A. Pratelli, and M. , Kantorovich potentials and continuity of total cost for relativistic cost functions, p.preprint, 2015.

J. Bertrand and M. , The optimal mass transport problem for relativistic costs, Calc. Var, PDEs, vol.46, issue.12, pp.353-374, 2013.
DOI : 10.1007/s00526-011-0485-9

Y. Brenier, Extended Monge-Kantorovich Theory, Lecture Notes in Mathematics LNM, vol.1813, pp.91-121, 2003.
DOI : 10.1007/978-3-540-44857-0_4

R. Mccann and M. , Constructing a relativistic heat flow by transport time steps, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.6, pp.2539-2580, 2009.
DOI : 10.1016/j.anihpc.2009.06.006

C. Villani, Optimal transport: Old and New, 2009.
DOI : 10.1007/978-3-540-71050-9