most citedNon-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems

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math.OC2026

From plans to maps: Nonlocal regularization of optimal transport

Marcello Carioni, Leonardo Del Grande, José A. Iglesias +1

We introduce a nonlocal regularization of optimal transport that bridges Kantorovich and Monge formulations. The regularization penalizes oscillations through an interaction kernel…