A vanishing viscosity approach to fracture growth in a cohesive zone model with prescribed crack path F Cagnetti Mathematical Models and Methods in Applied Sciences 18 (07), 1027-1071, 2008 | 69 | 2008 |
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians F Cagnetti, D Gomes, H Mitake, HV Tran Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32 (1), 183-200, 2015 | 58 | 2015 |
Stability of the Steiner symmetrization of convex sets M Barchiesi, F Cagnetti, N Fusco J. Eur. Math. Soc 15 (4), 1245-1278, 2013 | 53 | 2013 |
Adjoint methods for obstacle problems and weakly coupled systems of PDE F Cagnetti, D Gomes, HV Tran ESAIM: Control, Optimisation and Calculus of Variations 19 (3), 754-779, 2013 | 40 | 2013 |
Stochastic homogenisation of free-discontinuity problems F Cagnetti, G Dal Maso, L Scardia, CI Zeppieri Archive for Rational Mechanics and Analysis 233, 935-974, 2019 | 38 | 2019 |
A second order minimality condition for the Mumford-Shah functional F Cagnetti, MG Mora, M Morini Calculus of Variations and Partial Differential Equations 33, 37-74, 2008 | 36 | 2008 |
Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach F Cagnetti, R Toader ESAIM: Control, Optimisation and Calculus of Variations 17 (1), 1-27, 2011 | 35 | 2011 |
Aubry–Mather measures in the nonconvex setting F Cagnetti, D Gomes, HV Tran SIAM journal on mathematical analysis 43 (6), 2601-2629, 2011 | 35 | 2011 |
Γ-convergence of free-discontinuity problems F Cagnetti, G Dal Maso, L Scardia, CI Zeppieri Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (4), 1035-1079, 2019 | 30 | 2019 |
Linearly constrained evolutions of critical points and an application to cohesive fractures M Artina, F Cagnetti, M Fornasier, F Solombrino Mathematical Models and Methods in Applied Sciences 27 (02), 231-290, 2017 | 28 | 2017 |
An extension theorem in SBV and an application to the homogenization of the Mumford–Shah functional in perforated domains F Cagnetti, L Scardia Journal de mathématiques pures et appliquées 95 (4), 349-381, 2011 | 27 | 2011 |
Korn and Poincaré-Korn inequalities for functions with a small jump set F Cagnetti, A Chambolle, L Scardia Mathematische Annalen 383 (3), 1179-1216, 2022 | 25 | 2022 |
A new method for large time behavior of convex Hamilton–Jacobi equations: degenerate equations and weakly coupled systems F Cagnetti, D Gomes, H Mitake, HV Tran Annales de l’Institut Henri Poincaré-Analyse non linéaire 32, 183-200, 2015 | 21 | 2015 |
Rigidity of equality cases in Steiner’s perimeter inequality F Cagnetti, M Colombo, G De Philippis, F Maggi Analysis & PDE 7 (7), 1535-1593, 2014 | 21 | 2014 |
Essential connectedness and the rigidity problem for Gaussian symmetrization F Cagnetti, M Colombo, G De Philippis, F Maggi Journal of the European Mathematical Society 19 (2), 395-439, 2017 | 19 | 2017 |
Rigidity for perimeter inequality under spherical symmetrisation F Cagnetti, M Perugini, D Stöger Calculus of Variations and Partial Differential Equations 59, 1-53, 2020 | 17 | 2020 |
A global method for deterministic and stochastic homogenisation in BV F Cagnetti, G Dal Maso, L Scardia, CI Zeppieri Annals of PDE 8 (1), 8, 2022 | 11 | 2022 |
Convergence of a semi-discretization scheme for the Hamilton–Jacobi equation: a new approach with the adjoint method F Cagnetti, D Gomes, HV Tran Applied Numerical Mathematics 73, 2-15, 2013 | 8 | 2013 |
Optimal regularity and structure of the free boundary for minimizers in cohesive zone models L Caffarelli, F Cagnetti, A Figalli Archive for rational mechanics and analysis 237 (1), 299-345, 2020 | 6 | 2020 |
An extension result for generalised special functions of bounded deformation F Cagnetti, A Chambolle, M Perugini, L Scardia Journal of Convex Analysis 28 (2), 457--470, 2020 | 5 | 2020 |