N. Gigli, F. Nobili: A differential perspective on Gradient Flows on ${\sf CAT}()$-spaces and applications J. Geom. Anal. 2021 F. Nobili: Geometric and analytic properties of metric measure spaces through Sobolev calculus (Ph.D. Thesis) 2021 F. Nobili, E. Pasqualetto, T. Schultz: On master test plans for the space of BV functions Adv. Calc. Var. 2022 F. Nobili, I. Y. Violo: Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds Calc. Var. Partial Differential Equations 2022 N. Gigli, F. Nobili: A first-order condition for the independence on $p$ of weak gradients J. Funct. Anal. 2022 C. Brena, F. Nobili, E. Pasqualetto: Maps of bounded variation from PI spaces to metric spaces Ann. Sc. Norm. Super. Pisa Cl. Sci. 2023 F. Nobili, I. Y. Violo: Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds Adv. Math. 2024 F. Nobili, M. Novaga: Lattice tilings with minimal perimeter and unequal volumes Calc. Var. Partial Differential Equations Vol. 63, N. Paper n. 246, 2024 F. Nobili: An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds (preprint) http://arxiv.org/abs/2412.05935 2024 F. Nobili, D. Parise: Quantitative stability of Sobolev inequalities on compact Riemannian manifolds Int. Math. Res. Not. 2024 F. Nobili, I. Y. Violo: Fine Pólya-Szeg rearrangement inequalities in metric spaces and applications (preprint) http://arxiv.org/abs/2409.14182 2024 F. Nobili, M. Novaga, E. Paolini: Periodic double tilings of the plane (Submitted Paper) http://arxiv.org/abs/2502.08396 2025