The Steiner problem for infinitely many points
Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), pp. 43-56 
@article{RSMUP_2010__124__43_0,
     author = {Paolini, E. and Ulivi, L.},
     title = {The {Steiner} problem for infinitely many points},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {43--56},
     year = {2010},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {124},
     mrnumber = {2752675},
     zbl = {1217.49038},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2010__124__43_0/}
}
TY  - JOUR
AU  - Paolini, E.
AU  - Ulivi, L.
TI  - The Steiner problem for infinitely many points
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2010
SP  - 43
EP  - 56
VL  - 124
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_2010__124__43_0/
LA  - en
ID  - RSMUP_2010__124__43_0
ER  - 
%0 Journal Article
%A Paolini, E.
%A Ulivi, L.
%T The Steiner problem for infinitely many points
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2010
%P 43-56
%V 124
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2010__124__43_0/
%G en
%F RSMUP_2010__124__43_0
Paolini, E.; Ulivi, L. The Steiner problem for infinitely many points. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), pp. 43-56. https://www.numdam.org/item/RSMUP_2010__124__43_0/

[1] L. Ambrosio - P. Tilli, Selected Topics on "Analysis in Metric Spaces", Quaderni della Scuola Normale Superiore, Pisa, 2000. | Zbl | MR

[2] S. Ducret - M. Troyanov, Steiner's invariant and minimal connections, Portugal. Math. (N.S.), 65 (2) (2008), pp. 237--242. | Zbl | MR

[3] G. Buttazzo - E. Oudet - E. Stepanov, Optimal transportation problems with free Dirichlet regions, Progress in Nonlinear Diff. Equations and their Applications, 51 (2002), pp. 41--65. | Zbl | MR

[4] A. O. Ivanov - A. A. Tuzhilin, Minimal networks: the Steiner problem and its generalizations, CRC Press, 1994. | Zbl | MR

[5] M. Miranda, Jr. - E. Paolini - E. Stepanov, On one-dimensional continua uniformly approximating planar sets, Calc. Var. Partial Differential Equations, 27 (3) (2006), pp. 287--309. | Zbl | MR

[6] E. Paolini - E. Stepanov, Existence and regularity for the Steiner problem, http://cvgmt.sns.it/papers/paoste09 (preprint).

[7] E. R. Reifenberg, Solution of the Plateau problem for m-dimensional surfaces of varying topological type, Acta Math., 104 (1960), pp. 1--92. | Zbl | MR