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arXiv · 1311.3079

A Modica-Mortola approximation for the Steiner Problem

Antoine Lemenant·Filippo Santambrogio
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Abstract

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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Antoine Lemenant, Filippo Santambrogio. 2013-11-13. A Modica-Mortola approximation for the Steiner Problem. https://arxiv.org/abs/1311.3079

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