A model of anisotropic branched optimal transport
Optimization and Control
2026-04-21 v1 Analysis of PDEs
Abstract
We propose a new anisotropic optimal transport model based on the theory of currents, where the anisotropic cost function splits as the product of a factor depending only on the spatial direction and a factor depending only on the multiplicity of the current. We prove that the planar transport problem admits a minimizer. In arbitrary dimension, we show that a minimizer exists provided that the ambient space endowed with the anisotropic norm is hypermetric.
Cite
@article{arxiv.2604.17123,
title = {A model of anisotropic branched optimal transport},
author = {Martina Bellettini and Andrea Marchese},
journal= {arXiv preprint arXiv:2604.17123},
year = {2026}
}