A Modica-Mortola approximation for the Steiner Problem

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.

Data and Resources

Additional Info

Field Value
Source https://hal.science/hal-00903972
Author Lemenant, Antoine, Santambrogio, Filippo
Maintainer CCSD
Last Updated May 6, 2026, 02:25 (UTC)
Created May 6, 2026, 02:25 (UTC)
Identifier hal-00903972
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Lemenant, Antoine
date 2014-03-06T00:00:00
harvest_object_id ad41d5b6-18fd-4532-b92c-02a283078af0
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-10-23T00:00:00
set_spec type:UNDEFINED