%0 Journal Article %T A variational approach to some transport inequalities %A Joaquin Fontbona %A Nathael Gozlan %A Jean-Francois Jabir %J Mathematics %D 2015 %I arXiv %X We relate transport-entropy inequalities to the study of critical points of functionals defined on the space of probability measures. %U http://arxiv.org/abs/1508.07642v1