A Modica–Mortola approximation for the Steiner Problem
Antoine Lemenant, Filippo Santambrogio · Comptes Rendus Mathématique · 2014
In this note we present a way to approximate the Steiner Problem by a family of elliptic energies of Modica–Mortola type, with an additional term relying on a weighted geodesic distance which takes care of the connectedness constraint.