%0 Journal Article %A John W. Barrett %A Leonid Prigozhin %T Partial $L^1$ Monge–Kantorovich problem: variational formulation and numerical approximation %J Interfaces and free boundaries %D 2009 %P 201-238 %V 11 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4171/ifb/209/ %R 10.4171/ifb/209 %F 10_4171_ifb_209