@Article{ SavSod23, author = { Savaré, Giuseppe and Sodini, Giacomo Enrico }, title = { A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation }, journal = { Journal de Mathématiques Pures et Appliquées }, year = { 2024 }, doi = { https://doi.org/10.1016/j.matpur.2024.05.009 }, volume = { 188 }, pages = { 114-178 }, URL = { http://cvgmt.sns.it/paper/6346/ }, note = { cvgmt preprint} }