Optimal Mass Transport in Thin Domains
José C. Navarro-Climent, Julio Daniel Rossi, Raúl C. Volpe · Advanced Nonlinear Studies · 2014
Abstract We find the behavior of the solution of the optimal transport problem for the Euclidean distance (and its approximation by p−Laplacian problems) when the involved measures are supported in a domain that is contracted in one direction.