List of publications/preprints

  • Epsilon-Regularity for Griffith almost-minimizers in any dimension under a separating condition
    (with C. Labourie) – preprint (2022) – Link
  • An isoperimetric problem with two distinct solutions
    (with A. Henrot and I. Lucardesi) – preprint (2022) – Link
  • Regularity improvement for the minimizers of the two-dimensional Griffith energy
    (with C. Labourie) – accepted in Rendiconti Lincei Matematica e Applicazioni (2022) – Link
  • Regularity for the planar optimal p-compliance problem
    (with B. Bulanyi) – ESAIM Control Optim. Calc. Var. (2021) – Link
  • Partial regularity for the crack set minimizing the two-dimensional Griffith energy
    (with J. F. Babadjian and F. Iurlano) – JEMS (2022) – Link
  • Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials
    (with P. Alvarez-Caudevilla and M. Bonnivard) ESAIM COCV (2019) – Link
  • Self-contracted curves are gradient flows of convex functions
    (with Estibalitz Durand Cartagena) Proc. Amer. Math. Soc. 147 (2019), no. 6, 2517–2531. – Link
  • Numerical approximation of the Steiner problem in dimension 2 and 3
    (with M. Bonnivard and E. Bretin) Math. Comp. 89 (2020), no. 321, 1–43. – Link
  • Stationarity of the crack-front for the Mumford-Shah problem in 3D
    (with Hayk Mikayelyan) J. Math. Anal. Appl. 462 (2018) – Link

  • On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers
    (with M. Bonnivard and V. Millot) Interfaces Free Bound. 20 (2018) – Link

  • Rectifiability of non Euclidean planar self-contracted curves
    Confluentes Math. 8 (2016) – Link

  • Regularity for the optimal compliance problem with length penalization
    (With A. Chambolle, J. Lamboley et E. Stepanov) , SIAM J. Math. Anal Vol. 49, No. 2, pp. 1166-1224 – Link

  • Phase Field models for thin elastic structures with topological constraint
    (With P. Dondl et S. Wojtowytsch), Arch. Ration. Mech. Anal. 223 (2017), – Link

  • A selective review on Mumford-Shah minimizers.
    (Review paper) Boll. Unione Mat. Ital. 9 (2016) – Link

  • Energy release rate for non smooth cracks in planar elasticity.
    (With J-F. Babadjian and A. Chambolle) J. Ec. polytech. Math. 2 (2015) Link

  • A rigidity result for global Mumford-Shah minimizers in dimension three.
    J. Math. Pures Appl. (9) 103 (2015), no. 4 – Link

  • Approximation of length minimization problems among compact connected sets.
    (With M. Bonnivard and F. Santambrogio) SIAM J. Math. Anal. 47 (2015) – Link

  • A Modica-Mortola approximation for the Steiner Problem.
    (With F. Santambrogio) Compt. Rend. Ac. Sci. Paris 352 (2014) – Link

  • On sets minimizing their weighted length in uniformly convex separable Banach spaces.
    (With T. De Pauw and V. Millot) accepted in Adv. Math. – Link

  • Rectifiability of Self-contracted curves in the euclidean space and applications.
    (With A. Daniilidis, G. David and E. Durand-Cartagena) J. Geom. Anal. 25 (2015) – Link

  • Boundary regularity for the Poisson equation in reifenberg-flat domains.
    (With Y. Sire) Geometric partial differential equations, 189–209, CRM Series, 15, Ed. Norm., Pisa, 2013. – Link

  • Spectral Stability Estimates for the Dirichlet and Neumann Laplacian in rough domains.
    (With E. Milakis and L. V. Spinolo) J. Funct. Anal. 264 (2013), no. 9, 2097-2135. –Link

  • On the extension property of Reifenberg-flat domains.
    (With E. Milakis and L. V. Spinolo) – Annales Academiae Scientiarum Fennicae Mathematica – Link

  • The stress intensity factor for non-smooth fractures in antiplane elasticiy.
    (With A. Chambolle) – Calc. Var. Partial Differential Equation 47 (2013), no. 3-4, 589-610. Link

  • Un théorème de régularité pour les minimiseurs de Mumford-Shah dans R^3.
    Compte rendu du séminaire X-EDP (proceeding)

  • On convex sets that minimize the average distance.
    (With E. Mainini) – ESAIM: COCV (2012) Link

  • A presentation of the average distance minimization problem.
    Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 390 (2011) translation in J. Math. Sci. (N.Y.) 181 (2012), no. 6, 820-836 Link

  • A variational model for plastic slip and its regularization via Gamma-convergence.
    (With L. Ambrosio and G. Royer-Carfagni) – Journal of Elasticity – Link

  • Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence.
    (With P. Alvarez-Caudevilla) – Adv. in Diff. Eq. Vol. 15, 7-8 (2010), 649-688 – Link

  • About the regularity of average distance minimizers in R^2.
    Journal of Convex Analysis 18 (2011), No. 4, 949–981. – Link

  • Some stability results under domain variation for Neumann problems in metric spaces.
    (With E. Durand-Cartagena) – Ann. Ac. Sci. Fen. Math. Vol 35, (2010) – Link

  • Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in R^n.
    (With E. Milakis) – J. Math. Anal. Appl. 364 (2010) – Link

  • A stability result for nonlinear Neumann problems in Reifenberg flat domains in R^n.
    (With E. Milakis) – Publ. Mat. 55 (2011), 413-432 – Link

  • Regularity of the singular set for Mumford-Shah minimizers in R^3 near a minimal cone
    Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. X (2011), 561-609 – Link

  • Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets – Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX (2010), 1-34 – Link

  • On the homogeneity of global minimizers for the Mumford-Shah functional when K is a smooth cone
    Rend. Semin. Mat. Univ. Padova 122, 129-159 (2009). – Link