Work

A continuous model of transportation in the Heisenberg group

Year: 2025

Type: article

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 < + ∞ {1 , as well as the Monge–Kantorovich problem, in the limit case p = 1 {p=1} .

Source: Advances in Calculus of Variations

DOI: 10.1515/acv-2024-0119

Authors: Michele Circelli, Albert Clop

Institutions: University of Bologna, Universitat de Barcelona

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

OpenAlex ID: W4413812743

FWCI: 1.87

Cites: 37

Cited by: 1

Related to: 10