Calculus of Variations and Geometric Measure Theory

D. Cherkashin - F. Petrov

Branching points in the planar Gilbert--Steiner problem have degree 3

created by cherkashin on 15 Sep 2023
modified on 22 Oct 2025

[BibTeX]

Published Paper

Inserted: 15 sep 2023
Last Updated: 22 oct 2025

Journal: Pure and Applied Functional Analysis
Volume: 10
Number: 2
Pages: 331--338
Year: 2025

ArXiv: 2309.04202 PDF

Abstract:

Gilbert--Steiner problem is a generalization of the Steiner tree problem on a specific optimal mass transportation. We show that every branching point in a solution to the planar Gilbert--Steiner problem has degree 3.

Keywords: Branched transport, Gilbert--Steiner problem