Associate Professor, Università di Parma

Email: filippo.cagnetti AT unipr.it

Available papers (21):

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• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Ann. PDE)
  A global method for deterministic and stochastic homogenisation in BV (2022)
• F. Cagnetti - A. Chambolle - M. Perugini - L. Scardia (J. Convex Anal.)
  An extension result for generalised special functions of bounded deformation (2021)
• F. Cagnetti - A. Chambolle - L. Scardia (Accepted Paper: Math. Ann.)
  Korn and Poincaré-Korn inequalities for functions with small jump set (2020)
• L. Caffarelli - F. Cagnetti - A. Figalli (Arch. Ration. Mech. Anal.)
  Optimal regularity and structure of the free boundary for minimizers in cohesive zone models (2020)
• F. Cagnetti (Accepted Paper: Portugaliae Mathematica)
  Rigidity for Perimeter Inequalities under symmetrization: state of the art and open problems (2019)
• F. Cagnetti - M. Perugini - D. Stöger (Calc. Var. Partial Differential Equations)
  Rigidity for perimeter inequality under spherical symmetrisation (2019)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Arch. Ration. Mech. Anal.)
  Stochastic Homogenisation of Free-Discontinuity Problems (2019)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  $\Gamma$-convergence of free-discontinuity problems (2018)
• M. Artina - F. Cagnetti - M. Fornasier - F. Solombrino (Mathematical Models and Methods in Applied Sciences )
  Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures (2017)
• M. Barchiesi - F. Cagnetti - N. Fusco (J. Eur. Math. Soc.)
  Stability of the Steiner symmetrization of convex sets (2013)
• F. Cagnetti - D. Gomes - H. V. Tran (Appl. Numer. Math.)
  Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method (2013)
• F. Cagnetti - D. Gomes - H. V. Tran (ESAIM Control Optim. Calc. Var.)
  Adjoint Methods for Obstacle Problems and Weakly Coupled Systems of PDE (2013)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: Anal. PDE)
  Rigidity of equality cases in Steiner's perimeter inequality (2013)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: J. Eur. Math. Soc.)
  Essential connectedness and the rigidity problem for Gaussian symmetrization (2013)
• F. Cagnetti - D. Gomes - H. Mitake - H. V. Tran (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
  A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians (2012)
• F. Cagnetti (Proc. Roy. Soc. Edinburgh Sect. A)
  k-Quasiconvexity Reduces to Quasiconvexity (2011)
• F. Cagnetti - D. Gomes - H. V. Tran (SIAM J. Math. Anal.)
  Aubry-Mather Measures in the Non Convex setting (2011)
• F. Cagnetti - L. Scardia (J. Math. Pures Appl.)
  An extension theorem in $SBV$ and an application to the homogenization of the Mumford-Shah functional in perforated domains (2011)
• F. Cagnetti - R. Toader (ESAIM Control Optim. Calc. Var.)
  Quasistatic crack evolution for a cohesive zone model with different response to loading and unloading: a Young measures approach (2011)
• F. Cagnetti - M. G. Mora - M. Morini (Calc. Var.)
  A second order minimality condition for the Mumford-Shah functional (2008)
• F. Cagnetti (Math. Models Methods Appl. Sci.)
  A vanishing viscosity approach to fracture growth in a cohesive zone model with prescribed crack path (2008)

Speaker:

• 22 oct 2025 - 24 oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology
• 4 jul 2023 - 7 jul 2023: Variational methods for nonlinear PDEs
• 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
• 2 sep 2019 - 5 sep 2019: Optimal Transport and Optimal Patterns
• 1 jul 2019 - 5 jul 2019: Calculus of Variations on Schiermonnikoog 2019

Organizer:

• 19 sep 2025 - 19 sep 2025: Perspectives in the Calculus of Variations - Un incontro in onore di Gianni Dal Maso
• 13 jun 2022 - 15 jun 2022: Workshop on Analysis and PDEs
• 19 mar 2019 - 20 mar 2019: Workshop on Calculus of Variations
• 7 sep 2015 - 8 sep 2015: Conference on Calculus of Variations, PDE, and Geometric Measure Theory
• 2 mar 2015 - 6 mar 2015: New Perspectives in Analysis and Probability