A Modica-Mortola approximation for the Steiner Problem
classification
🧮 math.AP
keywords
modica-mortolaproblemsteineradditionalapproximateapproximationcareconnexity
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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 distance which takes care of the connexity constraint.
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