Geometric linearisation for optimal transport with strongly p-convex cost
Analysis of PDEs
2024-04-08 v3
Abstract
We prove a geometric linearisation result for minimisers of optimal transport problems where the cost-function is strongly p-convex and of p-growth. Initial and target measures are allowed to be rough, but are assumed to be close to Lebesgue measure.
Cite
@article{arxiv.2303.10760,
title = {Geometric linearisation for optimal transport with strongly p-convex cost},
author = {Lukas Koch},
journal= {arXiv preprint arXiv:2303.10760},
year = {2024}
}
Comments
Final version as published in Calc. Var. Part. Differ. Equat. 63