Inserted: 18 mar 2020
Last Updated: 11 jan 2022
Journal: Discrete Contin. Dyn. Syst.
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).