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arXiv · 2406.09380

A continuous model of transportation in the Heisenberg group

Michele Circelli·Albert Clop
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Abstract

We present a minimization problem with a horizontal divergence-type constraint in the Heisenberg group. Our study explores its dual formulation and examines its relationship with the congested optimal transport problem, for $1 < p < +\infty$, as well as the Monge-Kantorovich problem, in the limite case $p=1$.

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Michele Circelli, Albert Clop. 2024-06-13. A continuous model of transportation in the Heisenberg group. https://doi.org/10.1515/acv-2024-0119

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