Calculus of Variations and Geometric Measure Theory

M. Goldman - L. Koch

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

created by goldman on 11 Jul 2024

[BibTeX]

Submitted Paper

Inserted: 11 jul 2024
Last Updated: 11 jul 2024

Year: 2024

Abstract:

We consider maps $T$ solving the optimal transport problem with a cost $c(x-y)$ modeled on the $p$-cost. For H\"older continuous marginals, we prove a $C^{1,\alpha}$-partial regularity result for $T$ in the set $\{\lvert T(x)-x\rvert>0\}$.


Download: