Filippo Cagnetti
Senior Lecturer in Mathematics

Selected publications

Article

Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia and Zeppieri, Caterina Ida (2022) A global method for deterministic and stochastic homogenisation in BV. Annals of PDE, 8 (1). a8 1-89. ISSN 2524-5317

Cagnetti, Filippo, Chambolle, Antonin and Scardia, Lucia (2021) Korn and Poincare-Korn inequalities for functions with a small jump set. Mathematische Annalen. ISSN 0025-5831

Cagnetti, F, Perugini, M and Stöger, D (2020) Rigidity for perimeter inequality under spherical symmetrisation. Calculus of Variations and Partial Differential Equations, 59. a139 1-53. ISSN 0944-2669

Caffarelli, L, Cagnetti, F and Figalli, A (2020) Optimal regularity and structure of the free boundary for minimizers in cohesive zone models. Archive for Rational Mechanics and Analysis, 237. pp. 299-345. ISSN 0003-9527

Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia and Ida Zeppieri, Caterina (2019) Stochastic homogenisation of free-discontinuity problems. Archive for Rational Mechanics and Analysis, 233 (240). pp. 935-974. ISSN 0003-9527

Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia and Ida Zeppieri, Caterina (2019) Γ-Convergence of free discontinuity problems. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 36 (4). pp. 1035-1079. ISSN 0294-1449

Cagnetti, Filippo (2019) Rigidity for perimeter inequalities under symmetrization: state of the art and open problems. Portugaliae Mathematica, 75 (3/4). pp. 329-366. ISSN 0032-5155

Artina, Marco, Cagnetti, Filippo, Fornasier, Massimo and Solombrino, Francesco (2017) Linearly constrained evolutions of critical points and an application to cohesive fractures. Mathematical Models and Methods in Applied Sciences, 27 (2). pp. 231-290. ISSN 0218-2025

Cagnetti, Filippo, Colombo, Maria, De Philippis, Guido and Maggi, Francesco (2017) Essential connectedness and the rigidity problem for Gaussian symmetrization. Journal of the European Mathematical Society, 19 (2). pp. 395-439. ISSN 1435-9855

Cagnetti, Filippo, Gomes, Diogo, Mitake, Hiroyoshi and Tran, Hung V (2015) A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 32 (1). pp. 183-200. ISSN 0294-1449

Cagnetti, Filippo, Colombo, Maria, De Philippis, Guido and Maggi, Francesco (2014) Rigidity of equality cases in Steiner's perimeter inequality. Analysis and PDE, 7 (7). pp. 1535-1593. ISSN 2157-5045

Cagnetti, F, Tran, H V and Gomes, D (2013) Convergence of a semi-discretization scheme for the Hamilton--Jacobi equation: a new approach with the adjoint method. Applied Numerical Mathematics, 73. pp. 2-15. ISSN 0168-9274

Cagnetti, Filippo, Gomes, Diogo and Tran, Hung Vinh (2013) Adjoint methods for obstacle problems and weakly coupled systems of PDE. ESAIM: Control, Optimisation and Calculus of Variations, 19 (3). pp. 754-779. ISSN 1292-8119

Barchiesi, Marco, Cagnetti, Filippo and Fusco, Nicola (2013) Stability of the Steiner symmetrization of convex sets. Journal of the European Mathematical Society, 15 (4). pp. 1245-1278. ISSN 1435-9855

Cagnetti, Filippo (2011) k-quasiconvexity reduces to quasiconvexity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (4). pp. 673-708. ISSN 0308-2105

Cagnetti, F and Scardia, L (2011) An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains. Journal de Mathematiques Pures et Appliquees, 95 (4). pp. 349-381. ISSN 0021-7824

Cagnetti, Filippo and Toader, Rodica (2011) Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach. ESAIM: Control, Optimisation and Calculus of Variations, 17 (1). pp. 1-27. ISSN 1292-8119

Cagnetti, F, Gomes, D and Tran, H V (2011) Aubry-Mather measures in the non convex setting. SIAM Journal on Mathematical Analysis, 43 (6). pp. 2601-2629. ISSN 0036-1410

Cagnetti, F, Mora, M G and Morini, M (2008) A second order minimality condition for the Mumford-Shah functional. Calculus of Variations and Partial Differential Equations, 33 (1). pp. 37-74. ISSN 0944-2669

Cagnetti, Filippo (2008) A vanishing viscosity approach to fracture growth in a cohesive zone model with prescribed crack path. Mathematical Models and Methods in Applied Sciences, 18 (7). pp. 1027-1071. ISSN 0218-2025