Abstract
In this paper we deal with an optimal matching problem, that is, we want totransport two commodities (modeled by two measures that encode the spacial distribution of each commodity) to a given location, where they will match,minimizing the total transport cost that in our case is given bythe sum of the two different Finsler distances that the two measures aretransported. We perform a method to approximate the matching measure and the pair ofKantorovich potentials associated with this problem taking limitas $p\to \infty$ in a variational system of $p-$Laplacian type.
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