Geometric linearisation for optimal transport with strongly p-convex cost

Fuente: arXiv
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Main Author: Koch, Lukas
Format: Preprint
Published: 2023
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author Koch, Lukas
author_facet Koch, Lukas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_10760
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Geometric linearisation for optimal transport with strongly p-convex cost
Koch, Lukas
Analysis of PDEs
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.
title Geometric linearisation for optimal transport with strongly p-convex cost
topic Analysis of PDEs
url https://arxiv.org/abs/2303.10760