Preprints
Generalized existence of extremizers for the sharp p-Sobolev inequality on Riemannian manifolds with nonnegative curvature (2025) (with F. Nobili) arXiv:2506.20592
On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 2 (2023) (with K. Fässler) arXiv:2505.15421
Publications
Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications, accepted in Calc. Var. PDEs (2025) (with F. Nobili) arXiv:2409.14182
On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 1, Rev. Mat. Iberoam (2025) (with K. Fässler),
Fat triangles inscribed in arbitrary planar domains, Discrete & Computational Geometry (2025),
Second-order estimates for the p-Laplacian in RCD spaces, J. Differ. Equ. (2025) (with L. Benatti),
An overview of regularity results for the Laplacian and p-Laplacian in metric spaces, Indag. Math. (2025)
Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces, BUMI , Volume 18 (1) (2025) (with N. Gigli)
Ricci curvature bounded below and uniform rectifiability, Ann. Fenn. Math. (2024) (with M. Hyde and M. Villa)
Pleijel nodal domain theorem in non-smooth setting, Trans. Amer. Math. Soc. (2024) (with N. De Ponti and S. Farinelli)
Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds, Adv. Math. (2024) (with F. Nobili)
Topological regularity of isoperimetric sets in PI spaces having a deformation property, Proc. R. Soc. Edinb., Sect. A, Math. (2023) (with G. Antonelli, E. Pasqualetto and M. Pozzetta)
Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds, Calc. Var. PDEs (2022) (with F. Nobili)
A remark on two notions of flatness for sets in the Euclidean space, J. reine angew. Math. (2022)
Monotonicity formulas for harmonic functions in RCD(0,N) spaces, J. Geom. Anal. (2021) (with N. Gigli)
On Stein's extension operator preserving Sobolev-Morrey spaces, Math. Nachr. (2019) (with P. D. Lamberti)
PhD thesis: Functional and geometric rigidities of RCD spaces and bi-Lipschitz Reifenberg's theorem in metric spaces, SISSA Trieste (available here).