Variational models for phase transitions, an approach via ?convergence, Calculus of variations and partial differential equations, pp.95-114, 1996. ,
Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, 2000. ,
On the approximation of free discontinuity problems, Boll. Un. Mat. Ital. B, vol.6, issue.71, pp.105-123, 1992. ,
A Variational Model for Plastic Slip and Its Regularization via ??-Convergence, Journal of Elasticity, vol.25, issue.8, pp.201-235, 2013. ,
DOI : 10.1007/s10659-012-9390-5
Derivatives with respect to metrics and applications: subgradient marching algorithm, Numerische Mathematik, vol.2, issue.2, pp.357-381, 2010. ,
DOI : 10.1007/s00211-010-0305-8
URL : https://hal.archives-ouvertes.fr/hal-00360971
Nonmonotone Spectral Projected Gradient Methods on Convex Sets, SIAM Journal on Optimization, vol.10, issue.4, pp.1196-1211, 2000. ,
DOI : 10.1137/S1052623497330963
Optimal Partitions for Eigenvalues, SIAM Journal on Scientific Computing, vol.31, issue.6, pp.4100-4114, 2009. ,
DOI : 10.1137/090747087
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.2422
Stationary configurations for the average distance functional and related problems, Control & Cybernetics, vol.38, issue.4A, pp.1107-1130, 2009. ,
Optimal Transportation Problems with Free Dirichlet Regions, Variational methods for discontinuous structures, pp.41-65 ,
DOI : 10.1007/978-3-0348-8193-7_4
URL : https://hal.archives-ouvertes.fr/hal-00384991
Asymptotical compliance optimization for connected networks, Networks and Heterogeneous Media, vol.2, issue.4, pp.761-777, 2007. ,
DOI : 10.3934/nhm.2007.2.761
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.8551
Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem, Ann. Sc. Norm. Super. Pisa Cl ,
Optimal Transportation with Traffic Congestion and Wardrop Equilibria, SIAM Journal on Control and Optimization, vol.47, issue.3, pp.1330-1350, 2008. ,
DOI : 10.1137/060672832
URL : https://hal.archives-ouvertes.fr/hal-00361010
Crack Initiation in Brittle Materials, Archive for Rational Mechanics and Analysis, vol.151, issue.4, pp.309-349, 2008. ,
DOI : 10.1007/s00205-007-0080-6
URL : https://hal.archives-ouvertes.fr/hal-00381652
Cours d'analyse, Tome II: Topologie. Espaces topologiques et espaces métriques. Fonctions numériques. Espaces vectoriels topologiques. Deuxì emé edition, revue et corrigée. Masson et Cie, ´ Editeurs, 1969. ,
Singular sets of minimizers for the Mumford-Shah functional, Progress in Mathematics, vol.233, 2005. ,
Convex Analysis and Variational Problems, Studies in Mathematics and Its Applications, 1976. ,
DOI : 10.1137/1.9781611971088
Geometric measure theory Die Grundlehren der mathematischen Wissenschaften, 1969. ,
Practical Methods of Optimization, 1987. ,
DOI : 10.1002/9781118723203
GNU Scientific Library Reference Manual ,
Steiner Minimal Trees, SIAM Journal on Applied Mathematics, vol.16, issue.1, pp.1-29, 1968. ,
DOI : 10.1137/0116001
Reducibility among combinatorial problems, In Complexity of Computer Computations, pp.85-103, 1972. ,
DOI : 10.1007/978-3-540-68279-0_8
About the regularity of average distance minimizers in R 2, J. Convex Anal, vol.18, issue.4, pp.949-981, 2011. ,
A presentation of the average distance minimizing problem, Journal of Mathematical Sciences, vol.17, issue.2, pp.117-146, 2011. ,
DOI : 10.1007/s10958-012-0717-3
A Modica-Mortola approximation for the steiner problem. preprint, available at cvgmt.sns.it, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00903972
Properties of minimizers of average-distance problem via discrete approximation of measures, SIAM J. Math. Anal, vol.45, issue.5, pp.3114-3131, 2013. ,
Fracture models as ??limits of damage models, Comm. Pure Appl. Anal, vol.12, issue.4, pp.1657-1686, 2013. ,
Geometry of sets and measures in Euclidean spaces, volume 44 of Cambridge Studies in Advanced Mathematics, Fractals and rectifiability, 1995. ,
Approximation of partitions of least perimeter by ?-convergence: around Kelvin's conjecture, Boll. Un. Mat. Ital. A Exp. Math, vol.14, issue.203, pp.526-529260, 1977. ,
A Modica-Mortola Approximation for Branched Transport and Applications, Archive for Rational Mechanics and Analysis, vol.10, issue.1, pp.115-142, 2011. ,
DOI : 10.1007/s00205-011-0402-6
Existence and regularity results for the Steiner problem, Calculus of Variations and Partial Differential Equations, vol.100, issue.3, pp.837-860, 2013. ,
DOI : 10.1007/s00526-012-0505-4
A Dacorogna-Moser approach to flow decomposition and minimal flow problems. preprint, available at cvgmt.sns.it, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00871623
Blow-up of optimal sets in the irrigation problem, Journal of Geometric Analysis, vol.2, issue.4, pp.343-362, 2005. ,
DOI : 10.1007/BF02922199
A Modica???Mortola approximation for branched transport, Comptes Rendus Mathematique, vol.348, issue.15-16, pp.15-16941, 2010. ,
DOI : 10.1016/j.crma.2010.07.016
URL : https://hal.archives-ouvertes.fr/hal-00417461
Level Set Methods and Fast Marching Methods, Cambridge Monographs on Applied and Computational Mathematics, 1999. ,
Counterexample to regularity in average-distance problem, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.31, issue.1 ,
DOI : 10.1016/j.anihpc.2013.02.004
Partial Geometric Regularity of Some Optimal Connected Transportation Networks, Journal of Mathematical Sciences, vol.12, issue.4, pp.522-552, 2006. ,
DOI : 10.1007/s10958-005-0514-3
Some explicit examples of minimizers for the irrigation problem, J. Convex Anal, vol.17, issue.2, pp.583-595, 2010. ,
Efficient algorithms for globally optimal trajectories. Automatic Control, IEEE Transactions on, vol.40, issue.9, pp.1528-1538, 1995. ,