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arXiv · 2303.10760

Geometric linearisation for optimal transport with strongly p-convex cost

Lukas Koch
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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.

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Lukas Koch. 2023-03-19. Geometric linearisation for optimal transport with strongly p-convex cost. https://arxiv.org/abs/2303.10760

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