Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets

Mauro Bonafini; Giandomenico Orlandi; Édouard Oudet

doi:10.4171/rlm/823

JournalsrlmVol. 29, No. 4pp. 597–606

Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets

Mauro Bonafini
Università di Trento, Povo (Trento), Italy
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Giandomenico Orlandi
Università di Verona, Italy
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- zbMATH Open
Édouard Oudet
Université Grenoble Alpes, Grenoble, France
- MathSciNet
- zbMATH Open

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Abstract

In this short note we announce the main results of [2] about variational problems involving 1-dimensional connected sets in the Euclidean plane, such as for example the Steiner tree problem and the irrigation (Gilbert–Steiner) problem.

Cite this article

Mauro Bonafini, Giandomenico Orlandi, Édouard Oudet, Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 4, pp. 597–606

DOI 10.4171/RLM/823