A continuous model of transportation in the Heisenberg group

2024/06/13 by Circelli, Michele, Clop, Albert · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2406.09380

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 < +∞, as well as the Monge-Kantorovich problem, in the limite case p=1.

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• Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group

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