Pubblicazioni

Autori:

Bonafini, Mauro; Orlandi, Giandomenico; Oudet, Édouard

Titolo:

Variational approximation of functionals defined on 1-dimensional connected sets in Rn

Anno:

2021

Tipologia prodotto:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Lingua:

Inglese

Referee:

No

Nome rivista:

ADVANCES IN CALCULUS OF VARIATIONS

ISSN Rivista:

1864-8258

N° Volume:

14

Numero o Fascicolo:

4

Intervallo pagine:

541-553

Parole chiave:

Calculus of variations; geometric measure theory; Gamma-convergence; convex relaxation; Gilbert-Steiner problem

Breve descrizione dei contenuti:

In this paper we consider the Euclidean Steiner tree problem and, more generally, (single sink) Gilbert-Steiner problems as prototypical examples of variational problems involving 1-dimensional connected sets in R-n. Following the analysis for the planar case presented in [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], we provide a variational approximation through Ginzburg-Landau type energies proving a Gamma-convergence result for n >= 3.

Pagina Web:

https://doi.org/10.1515/acv-2019-0031

Id prodotto:

134282

Handle IRIS:

11562/1095933

ultima modifica:

29 gennaio 2025

Citazione bibliografica:

Bonafini, Mauro; Orlandi, Giandomenico; Oudet, Édouard, Variational approximation of functionals defined on 1-dimensional connected sets in Rn «ADVANCES IN CALCULUS OF VARIATIONS» , vol. 14 , n. 4 , 2021 , pp. 541-553

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