A continuous model of transportation in the Heisenberg group
Analysis of PDEs
2025-10-29 v3 Optimization and Control
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 , as well as the Monge-Kantorovich problem, in the limite case .
Keywords
Cite
@article{arxiv.2406.09380,
title = {A continuous model of transportation in the Heisenberg group},
author = {Michele Circelli and Albert Clop},
journal= {arXiv preprint arXiv:2406.09380},
year = {2025}
}