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A Modica-Mortola approximation for the Steiner Problem
Antoine Lemenant, Filippo Santambrogio
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 the weighted geodesic d…
math.AP2013
Regularity in Monge's mass transfer problem
Qi-Rui Li, Filippo Santambrogio, Xu-Jian Wang
In this paper, we study the regularity of optimal mappings in Monge's mass transfer problem. Using the approximation to Monge's cost function given by the Euclidean distance c(x,y)…