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A Modica-Mortola approximation for the Steiner Problem

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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https://hal.archives-ouvertes.fr/hal-00903972
Contributor : Filippo Santambrogio <>
Submitted on : Wednesday, November 13, 2013 - 2:50:11 PM
Last modification on : Monday, January 18, 2021 - 9:18:02 PM
Long-term archiving on: : Friday, February 14, 2014 - 9:10:08 AM

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  • HAL Id : hal-00903972, version 1

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Antoine Lemenant, Filippo Santambrogio. A Modica-Mortola approximation for the Steiner Problem. 2013. ⟨hal-00903972v1⟩

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