A continuous model of transportation in the Heisenberg group

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 $p=1$.

References in corpus (1)

• Young measures, superposition and transport

Cited by in corpus (1)

• Transport densities and congested optimal transport problem in the Heisenberg group