Published Paper

Inserted: 22 oct 2025
Last Updated: 13 jul 2026

Journal: Analysis and Applications
Year: 2026
Doi: https://doi.org/10.1142/S0219530526500612

Abstract:

We study the entropic regularizations of optimal transport problems under suitable summability assumptions on the point-wise transport cost. These summability assumptions already appear in the literature. However, we show that the weakest compactness conditions that can be derived are already enough to obtain the convergence of the regularized functionals. This approach allows us to characterize the variational limit of the regularization even when it does not converge to the original problem. The results apply also to problems with more than two marginals.