Gradient theory for plasticity via homogenization of discrete dislocations G Leoni, A Garroni, M Ponsiglione Journal of the European Mathematical Society 12 (5), 1231-1266, 2010 | 133 | 2010 |
Dielectric breakdown: optimal bounds A Garroni, V Nesi, M Ponsiglione Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2001 | 85 | 2001 |
Nonlocal curvature flows A Chambolle, M Morini, M Ponsiglione Archive for Rational Mechanics and Analysis 218, 1263-1329, 2015 | 84 | 2015 |
Metastability and dynamics of discrete topological singularities in two dimensions: a Γ-convergence approach R Alicandro, L De Luca, A Garroni, M Ponsiglione Archive for Rational Mechanics and Analysis 214, 269-330, 2014 | 84 | 2014 |
Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous M Ponsiglione SIAM journal on mathematical analysis 39 (2), 449-469, 2007 | 79 | 2007 |
Crack initiation in brittle materials A Chambolle, A Giacomini, M Ponsiglione Archive for rational mechanics and analysis 188 (2), 309-349, 2008 | 69 | 2008 |
Γ-convergence analysis of systems of edge dislocations: the self energy regime L De Luca, A Garroni, M Ponsiglione Archive for Rational Mechanics and Analysis 206 (3), 885-910, 2012 | 58 | 2012 |
Piecewise rigidity A Chambolle, A Giacomini, M Ponsiglione Journal of Functional Analysis 244 (1), 134-153, 2007 | 54 | 2007 |
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies R Alicandro, M Cicalese, M Ponsiglione Indiana University Mathematics Journal, 171-208, 2011 | 51 | 2011 |
A Γ-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications A Giacomini, M Ponsiglione Archive for rational mechanics and analysis 180, 399-447, 2006 | 51 | 2006 |
Ginzburg–Landau functionals and renormalized energy: A revised Γ-convergence approach R Alicandro, M Ponsiglione Journal of Functional Analysis 266 (8), 4890-4907, 2014 | 47 | 2014 |
A stability result for nonlinear Neumann problems under boundary variations G Dal Maso, F Ebobisse, M Ponsiglione Journal de mathématiques pures et appliquées 82 (5), 503-532, 2003 | 44 | 2003 |
Existence and uniqueness for a crystalline mean curvature flow A Chambolle, M Morini, M Ponsiglione Communications on Pure and Applied Mathematics 70 (6), 1084-1114, 2017 | 42 | 2017 |
Existence and uniqueness for anisotropic and crystalline mean curvature flows A Chambolle, M Morini, M Novaga, M Ponsiglione Journal of the American Mathematical Society 32 (3), 779-824, 2019 | 36 | 2019 |
A nonlocal mean curvature flow and its semi-implicit time-discrete approximation A Chambolle, M Morini, M Ponsiglione SIAM Journal on Mathematical Analysis 44 (6), 4048-4077, 2012 | 33 | 2012 |
A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries M Barchiesi, SH Kang, TM Le, M Morini, M Ponsiglione Multiscale Modeling & Simulation 8 (5), 1715-1741, 2010 | 31 | 2010 |
Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials A Giacomini, M Ponsiglione Proceedings of the Royal Society of Edinburgh Section A: Mathematics 138 (5 …, 2008 | 31 | 2008 |
Fracture mechanics in perforated domains: a variational model for brittle porous media M Focardi, MS Gelli, M Ponsiglione Mathematical Models and Methods in Applied Sciences 19 (11), 2065-2100, 2009 | 29 | 2009 |
Discontinuous finite element approximation of quasistatic crack growth in nonlinear elasticity A Giacomini, M Ponsiglione Mathematical Models and Methods in Applied Sciences 16 (01), 77-118, 2006 | 28 | 2006 |
From 1-homogeneous supremal functionals to difference quotients: relaxation and Γ-convergence A Garroni, M Ponsiglione, F Prinari Calculus of Variations and Partial Differential Equations 27 (4), 397-420, 2006 | 19 | 2006 |