Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets
Mauro Bonafini
Università di Trento, Povo (Trento), ItalyGiandomenico Orlandi
Università di Verona, ItalyÉdouard Oudet
Université Grenoble Alpes, Grenoble, France
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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