@article{10_1090_S0894_0347_01_00376_9, author = {Caffarelli, Luis and Feldman, Mikhail and McCann, Robert}, title = {Constructing optimal maps for {Monge{\textquoteright}s} transport problem as a limit of strictly convex costs}, journal = {Journal of the American Mathematical Society}, pages = {1--26}, year = {2002}, volume = {15}, number = {1}, doi = {10.1090/S0894-0347-01-00376-9}, url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-01-00376-9/} }