Variational approximation of functionals defined on 1-dimensional connected sets in ℝ n
Author:
Affiliation:
1. Fakultät für Mathematik , Technische Universität München , Garching bei München , Germany
2. Dipartimento di Informatica , Università di Verona , Verona , Italy
3. Laboratoire Jean Kuntzmann , Université de Grenoble Alpes , Grenoble , France
Abstract
Funder
Agence Nationale de la Recherche
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Analysis
Link
https://www.degruyter.com/document/doi/10.1515/acv-2019-0031/pdf
Reference17 articles.
1. G. Alberti, S. Baldo and G. Orlandi, Functions with prescribed singularities, J. Eur. Math. Soc. (JEMS) 5 (2003), no. 3, 275–311.
2. G. Alberti, S. Baldo and G. Orlandi, Variational convergence for functionals of Ginzburg–Landau type, Indiana Univ. Math. J. 54 (2005), no. 5, 1411–1472.
3. M. Bernot, V. Caselles and J.-M. Morel, Optimal Transportation Networks. Models and Theory, Lecture Notes in Math. 1955, Springer, Berlin, 2009.
4. M. Bonafini, G. Orlandi and E. Oudet, Variational approximation of functionals defined on 1-dimensional connected sets: The planar case, SIAM J. Math. Anal. 50 (2018), no. 6, 6307–6332.
5. M. Bonafini and É. Oudet, A convex approach to the Gilbert–Steiner problem, preprint (2018), https://arxiv.org/abs/1810.05417.
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