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

F. Nobili, I. Y. Violo:
Generalized existence of extremizers for the sharp $p$-Sobolev
  inequality on Riemannian manifolds with nonnegative curvature
(preprint) http://arxiv.org/abs/2506.20592 2025