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Nobili, Francesco

  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, Ivan Yuri Violo, Nobili, Francesco +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. On master test plans for the space of BV functions
    2021/09/10 by Nobili, Francesco, Pasqualetto, Enrico, Schultz, Timo · 2 citations
    #26A45 #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
  5. Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications
    2024/09/21 by Francesco Nobili, Ivan Yuri Violo, Nobili, Francesco +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. Lattice tilings with minimal perimeter and unequal volumes
    2024/06/18 by Nobili, Francesco, Novaga, Matteo · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)
  7. Generalized existence of extremizers for the sharp p-Sobolev inequality on Riemannian manifolds with nonnegative curvature
    2025/06/25 by Francesco Nobili, Nobili, Francesco, Ivan Yuri Violo +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
  8. Maps of bounded variation from PI spaces to metric spaces
    2023/06/01 by Brena, Camillo, Nobili, Francesco, Pasqualetto, Enrico · 1 citation
    #26A45 #26B30 #30L99 #49J52 #53C23 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
  9. Quantitative stability of Sobolev inequalities on compact Riemannian manifolds
    2024/05/24 by Francesco Nobili, Davide Parise, Nobili, Francesco +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
  10. 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
  11. Ringdown mode amplitudes of precessing binary black holes
    2025/04/23 by Nobili, Francesco, Bhagwat, Swetha, Pacilio, Costantino +1 · 2 citations
    #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE)
  12. Periodic double tilings of the plane
    2025/02/12 by Francesco Nobili, Matteo Novaga, Nobili, Francesco +3 · 1 citation
    Materials Science · Engineering · Mathematics · #Quasicrystal Structures and Properties #graph theory and CDMA systems #Mathematics and Applications