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. 1690–1728 (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. 4987–5008 (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.