Francesco Nobili

1. Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds
   2022/10/02 by Francesco Nobili, Ivan Yuri Violo, Nobili, Francesco +1 · 5 citations
   Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations
2. Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds
   2021/08/04 by Francesco Nobili, Nobili, Francesco, Ivan Yuri Violo +1 · 4 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations
3. A first-order condition for the independence on p of weak gradients
   2021/12/23 by Nicola Gigli, Francesco Nobili, Gigli, Nicola +1 · 3 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
4. A first-order condition for the independence on p of weak gradients
   2022/08/27 by Nicola Gigli, Francesco Nobili · 3 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
5. Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications
   2024/09/21 by Francesco Nobili, Nobili, Francesco, Ivan Yuri Violo +1 · 3 citations
   Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Metric Geometry (math.MG) #Optimization and Variational Analysis
6. Generalized existence of extremizers for the sharp p-Sobolev inequality on Riemannian manifolds with nonnegative curvature
   2025/06/25 by Francesco Nobili, Ivan Yuri Violo, Nobili, Francesco +1 · 2 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
7. Quantitative stability of Sobolev inequalities on compact Riemannian manifolds
   2024/05/24 by Francesco Nobili, Nobili, Francesco, Davide Parise +1 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations
8. An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds
   2024/12/08 by Francesco Nobili, Nobili, Francesco · 3 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
9. Periodic double tilings of the plane
   2025/02/12 by Francesco Nobili, Nobili, Francesco, Matteo Novaga +3 · 1 citation
   Materials Science · Engineering · Mathematics · #Quasicrystal Structures and Properties #graph theory and CDMA systems #Mathematics and Applications
10. Stability of local Riemannian Ricci curvature lower bounds
    2026/07/29 by Luigi Ambrosio, Francesco Nobili, Federico Renzi +1
    Mathematics · #math.DG #math.FA #math.MG