Partial regularity for optimal transport with p-cost away from fixed points

2024/07/11 by Goldman, Michael, Koch, Lukas · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.08846

Abstract

We consider maps T solving the optimal transport problem with a cost c(x-y) modeled on the p-cost. For Hölder continuous marginals, we prove a C^1,α-partial regularity result for T in the set \|T(x)-x|>0\.

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