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
  • Giandomenico Orlandi

    Università di Verona, Italy
  • Édouard Oudet

    Université Grenoble Alpes, Grenoble, France
Convex relaxation and variational approximation of functionals defined on 1-dimensional connected sets cover
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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