Free Access
Issue |
ESAIM: COCV
Volume 23, Number 1, January-March 2017
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Page(s) | 309 - 335 | |
DOI | https://doi.org/10.1051/cocv/2015049 | |
Published online | 13 December 2016 |
- M. Bernot, V. Caselles and J.-M. Morel, T. plans. Publ. Mat. 49 (2005) 417–451. [CrossRef] [MathSciNet] [Google Scholar]
- M. Bernot, V. Caselles and J.-M. Morel, The structure of branched transportation networks. Calc. Var. Partial Differ. Eq. 32 (2008) 279–317. [CrossRef] [Google Scholar]
- M. Bernot, V. Caselles and J.-M. Morel, Optimal transportation networks: models and theory. Vol. 1955. Springer Science & Business Media (2009). [Google Scholar]
- F. Bethuel, A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces. Preprint arXiv:1401.1649 (2014). [Google Scholar]
- G. Bouchitté and P. Seppecher, Cahn and Hilliard fluid on an oscillating boundary. In Motion by mean curvature and related topics (Trento, 1992). De Gruyter, Berlin (1994) 23–42. [Google Scholar]
- G. Bouchitté, C. Dubs and P. Seppecher, Transitions de phases avec un potentiel dégénéré à l’infini, application à l’équilibre de petites gouttes. C. R. Acad. Sci. Paris Sér. I Math. 323 (1996) 1103–1108. [Google Scholar]
- J. Bourgain and H. Brezis, On the equation and application to control of phases. J. Amer. Math. Soc. 16 (2003) 393–426. [CrossRef] [MathSciNet] [Google Scholar]
- A. Braides, -convergence for beginners. Vol. 22 of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford (2002). [Google Scholar]
- L. Brasco, G. Buttazzo and F. Santambrogio, A Benamou-Brenier approach to branched transport. SIAM J. Math. Anal. 43 (2011) 1023–1040. [CrossRef] [MathSciNet] [Google Scholar]
- J.W. Cahn and J.E. Hilliard, Free energy of a nonuniform system. i. interfacial free energy. J. Chem. Phys. 28 (1958) 258–267. [Google Scholar]
- G. Dal Maso, An introduction to -convergence. Vol. 8 of Progress in Nonlinear Differential Equations and their Applications. Birkhäuser Boston, Inc., Boston, MA (1993). [Google Scholar]
- E. De Giorgi and T. Franzoni, Su un tipo di convergenza variazionale. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975) 842–850. [MathSciNet] [Google Scholar]
- C. Dubs, Problèmes de perturbations singulières avec un potentiel dégénéré à l’infini. Ph.D. thesis, Université de Toulon et du Var (1998). [Google Scholar]
- E.N. Gilbert, Minimum cost communication networks. Bell Syst. Tech. J. 46 (1967) 2209–2227. [CrossRef] [Google Scholar]
- F. Maddalena, S. Solimini and J.-M. Morel, A variational model of irrigation patterns. Interfaces Free Bound. 5 (2003) 391–415. [CrossRef] [MathSciNet] [Google Scholar]
- L. Modica and S. Mortola, Un esempio di -convergenza. Boll. Un. Mat. Ital. B 14 (1977) 285–299. [MathSciNet] [Google Scholar]
- J.-M. Morel and F. Santambrogio, Comparison of distances between measures. Appl. Math. Lett. 20 (2007) 427–432. [Google Scholar]
- E. Oudet and F. Santambrogio, A Modica–Mortola approximation for branched transport and applications. Arch. Ration. Mech. Anal. 201 (2011) 115–142. [Google Scholar]
- P. Pegon, Equivalence between branched transport models by Smirnov decomposition. To appear in RICAM (2017). [Google Scholar]
- F. Santambrogio, A Modica–Mortola approximation for branched transport. C. R. Math. Acad. Sci. Paris 348 (2010) 941–945. [CrossRef] [MathSciNet] [Google Scholar]
- F. Santambrogio, Optimal transport for applied mathematicians. Calculus of variations, PDEs and modeling. Vol. 87 (2015). [Google Scholar]
- C. Villani, Topics in optimal transportation. Number 58 in Graduate Studies in Mathematics. American Mathematical Society, cop. (2003). [Google Scholar]
- Q. Xia, Optimal paths related to transport problems. Commun. Contemp. Math. 5 (2003) 251–279. [CrossRef] [MathSciNet] [Google Scholar]
- Q. Xia, Interior regularity of optimal transport paths. Calc. Var. Partial Differ. Eq. 20 (2004) 283–299. [CrossRef] [Google Scholar]
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