Calculus of Variations and Geometric Measure Theory

M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff

Stability of optimal traffic plans in the irrigation problem

created by derosa on 18 Mar 2020
modified on 11 Jan 2022


Published Paper

Inserted: 18 mar 2020
Last Updated: 11 jan 2022

Journal: Discrete Contin. Dyn. Syst.
Year: 2021

ArXiv: 2003.11793 PDF


We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in (Comm. Pure Appl. Math, 2019).