Cagnetti FilippoView profile
Associate Professor
Filippo Cagnetti is an Associate Professor (Professore di II fascia) in the Department of Mathematical, Physical and Computer Sciences at the University of Parma , Italy. He regularly teaches foundational courses such as Calculus 2A and Mathematical Analysis A to first- and second-year students enrolled in Mathematics, Geological Sciences (Earth Sciences), and Management Engineering degree programmes, spanning academic years from 2023/2024 through 2025/2026. His research lies at the intersection of calculus of variations , partial differential equations , and geometric measure theory . A recurrent theme is the rigorous derivation of effective models for materials with microstructures via deterministic and stochastic homogenisation , particularly for free-discontinuity problems that describe brittle fracture. Parallel efforts focus on symmetrisation inequalities (Pólya–Szegö, Steiner, Schwarz, Gaussian) and their rigidity properties: under which geometric or analytic conditions equality in an inequality forces the domain to be symmetric or even trivial. Over the past decade his publication portfolio shows a clear evolution from foundational results on viscosity solutions and large-time behaviour of Hamilton–Jacobi equations to highly specialised contributions on Korn- and Poincaré-Korn-type inequalities in spaces of special functions of bounded deformation (GSBD), and on optimal regularity of free boundaries in cohesive fracture models. The techniques employed combine Γ-convergence, fine properties of BV and GSBD spaces, measure-theoretic arguments, and stochastic two-scale convergence. Contact: Email: filippo.cagnetti@unipr.it







