A. Garroni, V. Nesi, M. Ponsiglione: Dielectric breakdown: optimal bounds Proc. R. Soc. Lond. A Vol. 457, p. 2317-2335, 2001 A. Giacomini, M. Ponsiglione: A discontinuous finite element approximation of quasi-static growth of brittle fractures Numer. Funct. Anal. Optim N. 24, p. 813-850, 2003 G. Dal Maso, F. Ebobisse, M. Ponsiglione: A stability result for nonlinear Neumann problems under boundary variations J. Math. Pures Appl. Vol. 82, p. 503-532, 2003 F. Ebobisse, M. Ponsiglione: Stability of some unilateral free-discontinuity problems in two-dimensional domains Proc. Roy. Soc. Edinburgh A Vol. 133, p. 1031-1046, 2003 M. Palombaro, M. Ponsiglione: The three divergence free matrix fields problem Asymptot. Anal. Vol. 40, N. 1, p. 37-49, 2004 F. Ebobisse, M. Ponsiglione: A duality approach for variational problems in domains with cracks J. Convex Anal. Vol. 11, N. 1, p. 17-40, 2004 A. Garroni, M. Ponsiglione, F. Prinari: From $1$-homogeneous supremal functionals to difference quotients: relaxation and Gamma-convergence Calc. Var. Vol. 27, p. 397-420, 2006 A. Davini, M. Ponsiglione: Homogenization of two--phase metrics and applications J. Analyse Math. 2006 F. Acanfora, M. Ponsiglione: Quasi-static growth of brittle craks in a linearly elastic flexural plate Ann. Mat. Pura Appl. Vol. 185, N. 2, p. 293-317, 2006 A. Giacomini, M. Ponsiglione: Discontinuous finite element approximation of quasistatic crack growth in finite elasticity Math. Models. and Methods Appl. Sci Vol. 16, N. 1, p. 77-118, 2006 A. Giacomini, M. Ponsiglione: A Gamma-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications Arch. Ration. Mech. Anal Vol. 180, N. 3, p. 399-447, 2006 M. Ponsiglione: Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous SIAM J. Math. Anal. (Accepted Paper) 2007 A. Chambolle, A. Giacomini, M. Ponsiglione: Piecewise rigidity J. Funct. Anal. Vol. 244, p. 134-153, 2007 A. Chambolle, A. Giacomini, M. Ponsiglione: Crack initiation in brittle materials Arch. Ration. Mech. Anal. Vol. 188, N. 2, p. 309-349, 2008 A. Giacomini, M. Ponsiglione: Non interpenetration of matter for $SBV$-deformations of hyperelastic brittle materials Proc. Roy. Soc. Edinburgh Sect. A Vol. 138A, p. 1019-1041, 2008 M. Focardi, M. S. Gelli, M. Ponsiglione: Fracture mechanics in perforated domains: a variational model for brittle porous media Math. Models Methods Appl. Sci. Vol. 19, N. 11, p. 2065-2100, 2009 G. Dal Maso, A. Giacomini, M. Ponsiglione: A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions Boll. Un. Mat. Ital. (9) Vol. 2, p. 371-390, 2009 A. Pisante, M. Ponsiglione: Phase transitions and minimal hypersurfaces in hyperbolic space (Preprint) 2010 M. Barchiesi, S. H. Kang, T. M. Le, M. Morini, M. Ponsiglione: A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries Multiscale Model. Simul. Vol. 8, p. 1715-1741, 2010 L. Bertini, M. Ponsiglione: A variational approach to the stationary solutions of Burgers equation (Submitted Paper) 2010 A. Garroni, G. Leoni, M. Ponsiglione: Gradient theory for plasticity via homogenization of discrete dislocations J. Eur. Math. Soc. Vol. 12, N. 5, p. 1231-1266, 2010 V. Nesi, M. Palombaro, M. Ponsiglione: Gradient integrability and rigidity results for two-phase conductivities in dimension two (Preprint) 2011 R. Alicandro, M. Cicalese, M. Ponsiglione: Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies Indiana Univ. Math. J. Vol. 60, N. 1, p. 171-208, 2011 F. Maggi, M. Ponsiglione, A. Pratelli: Quantitative stability in the isodiametric inequality via the isoperimetric inequality Trans. AMS 2011 A. Chambolle, M. Morini, M. Ponsiglione: A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation (Preprint) 2012 L. De Luca, A. Garroni, M. Ponsiglione: $\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime (ARMA) 2012 R. Alicandro, M. Ponsiglione: Ginzburg-Landau functionals and renormalized energy: A revised $\Gamma$-convergence approach J. Funct. Anal. Vol. 266, p. 4890-4907, 2014 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach Archive Rational Mech. Anal. Vol. 214, p. 269-330, 2014 A. Chambolle, M. Morini, M. Ponsiglione: Nonlocal curvature flows Arch. Ration. Mech. Anal. 2015 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Dynamics of discrete screw dislocations on glide directions J. Mech. Phys. Solids Vol. 92, p. 87-104, 2016 M. Cicalese, L. De Luca, M. Novaga, M. Ponsiglione: Ground States of a two phase model with cross and self attractive interactions SIAM J. Math. Anal. Vol. 48, N. 5, p. 3412-3443, 2016 A. Chambolle, M. Morini, M. Ponsiglione: Existence and uniqueness for a crystalline mean curvature flow Communications on Pure and Applied Mathematics (Published online) 2016 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Minimising movements for the motion of discrete screw dislocations along glide directions Calc. Var. Partial Differential Equations Vol. 56:148, 2017 S. Fanzon, M. Palombaro, M. Ponsiglione: A variational model for dislocations at semi-coherent interfaces Journal of Nonlinear Science Vol. 27, p. 1435, 2017 R. Badal, M. Cicalese, L. De Luca, M. Ponsiglione: $\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects Commun. Math. Phys. Vol. 358, N. 2, p. 705739, 2018 A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione: Generalized crystalline evolutions as limits of flows with smooth anisotropies Anal. PDE Vol. 12, N. 3, p. 789-813, 2019 A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione: Existence and uniqueness for anisotropic and crystalline mean curvature flows J. Amer. Math. Soc. Vol. 32, N. 3, p. 779824, 2019 L. De Luca, M. Novaga, M. Ponsiglione: $\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter J. Nonlinear Sci. Vol. 29, N. 4, p. 1273-1299, 2019 S. Fanzon, M. Palombaro, M. Ponsiglione: Derivation of Linearised Polycrystals from a Two-Dimensional System of Edge Dislocations SIAM Journal on Mathematical Analysis Vol. 51, N. 5, p. 3956-3981, 2019 M. Morini, M. Ponsiglione, E. Spadaro: Long time behaviour of discrete volume preserving mean curvature flows (Preprint) 2020 A. Kubin, M. Ponsiglione: Attractive Riesz potentials acting on hard spheres (Preprint) 2020 L. De Luca, M. Ponsiglione: Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles Comm. Contemp. Math. Vol. 22, N. 3, 2020 S. Fanzon, M. Ponsiglione, R. Scala: Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces Calculus of Variations and Partial Differential Equations 2020 V. Julin, M. Morini, M. Ponsiglione, E. Spadaro: The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions (Preprint) 2021 A. Cesaroni, L. De Luca, M. Novaga, M. Ponsiglione: Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows Comm. Partial Differential Equations Vol. 46, N. 7, p. 1344-1371, 2021 L. De Luca, M. Novaga, M. Ponsiglione: The $0$-fractional perimeter between fractional perimeters and Riesz potentials Ann. Scuola Normale Sup. Pisa Vol. 22, N. 4, p. 1559-1596, 2021 L. De Luca, A. Ninno, M. Ponsiglione: Vectorial crystallization problems and collective behavior J. Math. Biol. Vol. 84, 2022 L. De Luca, A. Kubin, M. Ponsiglione: The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows Nonlinear Anal. Vol. 214, 2022 L. De Luca, M. Ponsiglione, E. Spadaro: Two slope functions minimizing fractional seminorms and applications to misfit dislocations (Preprint) 2022 R. Alicandro, L. De Luca, M. Palombaro, M. Ponsiglione: $\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions (Preprint) 2023 L. De Luca, M. Morini, M. Ponsiglione, E. Spadaro: Parabolic $\alpha$-Riesz flows and limit cases $\alpha\to 0^+$, $\alpha\to d^-$ (Preprint) 2023 V. Crismale, A. Kubin, A. Ninno, M. Ponsiglione: Failure of crystallization for generalized Lennard-Jones potentials and coarse graining to a rotating stars problem in one dimension Nonlinear Analysis Vol. 231, p. Paper no. 113046, 2023 V. Crismale, L. De Luca, A. Kubin, A. Ninno, M. Ponsiglione: The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$ J. Funct. Anal. Vol. 284, p. Paper no. 109851, 2023 R. Alicandro, L. De Luca, G. Lazzaroni, M. Palombaro, M. Ponsiglione: Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice J. Nonlinear Sci. Vol. 33, N. 2, 2023 M. Cicalese, T. Heilmann, A. Kubin, F. Onoue, M. Ponsiglione: A notion of $s$-fractional mass for $1$-currents in higher codimension (Preprint) 2024