Interests

My research is focused on variational and evolution problems involving nonlocal interactions or multiple scales.

Papers & preprints

Preprints

2) with E. Davoli and G. Di Fratta: Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula, preprint (2023). arXiv: https://arxiv.org/pdf/2302.05653.pdf.

1) with E. Davoli and C. Gavioli: Homogenization of high-contrast media in finite-strain elastoplasticity, preprint (2022). arXiv: https://arxiv.org/pdf/2301.02170.pdf.

Accepted and published papers

7) with E. Davoli and C. Gavioli: A homogenization result in finite plasticity, to appear in Calculus of Variations and Partial differential Equations.
arXiv: http://arxiv.org/abs/2204.09084.

6) with E. Davoli and M. Kružík: Homogenization of high-contrast materials under differential constraints, to appear in Advances in Calculus of Variations. DOI: https://doi.org/10.1515/acv-2022-0009.

5)  with K. Papafitsoros, B. Raiţă and A. Vikelis: Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands, SIAM Journal on Imaging Sciences, Vol. 15, Iss. 4, pp. 16901728 (2022). DOI: https://doi.org/10.1137/21M1467328.

4) with A. Cesaroni: Convergence of nonlocal geometric flows to anisotropic mean curvature motion, Discrete & Continuous Dynamical Systems 41(10), pp. 49875008 (2021). DOI: https://doi.org/10.3934/dcds.2021065

3) with A. Chambolle and M. Novaga: On the convergence rate of some nonlocal energies,  Nonlinear Analysis 200 (2020). DOI: https://doi.org/10.1016/j.na.2020.112016.

2) Halfspaces minimise nonlocal perimeter: a proof via calibrations, Ann. Mat. Pura Appl. 199, pp.1685–1696 (2020). DOI: https://doi.org/10.1007/s10231-019-00937-7.

1) with J. Berendsen: On the asymptotic behaviour of nonlocal perimeters, ESAIM-COCV 25 (2019), no. 48. DOI: https://doi.org/10.1051/cocv/2018038.