M. Bernot, V. Caselles, J. Morel, M. Bernot, V. Caselles et al., Traffic plans doi: 10.5565/PUBLMAT_49205_09 Optimal transportation networks Approximation of length minimization problems among compact connected sets, Publ. Mat. Lecture Notes in Mathematics. Models and theory In: SIAM J. Math. Anal, vol.49, issue.472, pp.417-451, 1137.
DOI : 10.5565/publmat_49205_09

M. Bonafini, G. Orlandi, and E. Oudet, Variational approximation of functionals defined on 1-dimensional connected sets: the planar case, 2016.

H. Brezis, Functional analysis, Sobolev spaces and partial differential equations. Universitext, p.599, 2011.
DOI : 10.1007/978-0-387-70914-7

A. Brancolini and S. Solimini, On the Hölder regularity of the landscape function In: Interfaces Free Bound, pp.191-222, 2011.

A. Brancolini, S. Soliminibt09, ]. A. Beck, M. Teboulle, and S. Campanato, A fast iterative shrinkage-thresholding algorithm for linear inverse problems, Proprietà di hölderianità di alcune classi di funzioni " . In: Ann. Scuola Norm. Sup. Pisa, pp.854-890, 1963.

M. [. Castaing, . A. Valadierfcm16-]-l, A. Ferrari, B. Chambolle, . N. Merletgil67-]-e et al., Convex analysis and measurable multifunctions A simple phase-field approximation of the Steiner problem in dimension two " . 24 pages, 8 figures issn: 1538-7305. doi: 10 Direct methods in the calculus of variations Steiner Minimal Trees On the limited memory BFGS method for large scale optimization Proximal Newton-type methods for minimizing composite functions, Cost Communication Networks " . In: Bell System Technical Journal, pp.2209-2227, 1137.

L. Modica and S. Mortola, Un esempio di ? ? -convergenza, Boll. Un. Mat. Ital. B, vol.141, issue.5, pp.285-299, 1977.

]. A. Mon15 and . Monteil, Elliptic approximations of singular energies under divergence constraint Uniform estimates for a Modica-Mortola type approximation of branched transportation, In: ESAIM Control Optim. Calc. Var, vol.231, pp.309-335, 2015.

B. Maury, A. Roudneff-chupin, and F. Santambrogio, Congestion-driven dendritic growth, Discrete and Continuous Dynamical Systems, vol.34, issue.4, pp.1575-1604, 2014.
DOI : 10.3934/dcds.2014.34.1575
URL : http://www.aimsciences.org/journals/doIpChk.jsp?paperID=9021&mode=full

F. Maddalena, S. Solimini, and J. Morel, A variational model of irrigation patterns, Interfaces and Free Boundaries, vol.5, issue.4, pp.391-415, 2003.
DOI : 10.4171/IFB/85

J. [. Nocedal, F. Oudet, and . Santambrogio, A Modica-Mortola approximation for branched transport and applications On the Lagrangian branched transport model and the equivalence with its Eulerian formulation " . In: Topological Optimization and Optimal Transport, RIR01] I. Rodriguez-Iturbe and A. Rinaldo. Fractal river basins: chance and self-organization, pp.151-773, 1980.

]. F. San07, . Santambrogiosan10-]-f, and . Santambrogio, A Modica-Mortola approximation for branched transport Optimal paths related to transport problems On landscape functions associated with transport paths, Discrete Contin. Dyn. Syst. 34, pp.149-169, 2001.