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Grillo, Gabriele

  1. Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
    2011/04/19 by Bonforte, Matteo, Gazzola, Filippo, Grillo, Gabriele +1 · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  2. Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models
    2012/11/08 by Berchio, Elvise, Ferrero, Alberto, Grillo, Gabriele · 2 citations
    #35B35 #35B40 #35J60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  3. Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds
    2015/06/26 by Grillo, Gabriele, Muratori, Matteo · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  4. Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities
    2012/04/27 by Grillo, Gabriele, Muratori, Matteo, Porzio, Maria Michaela · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density
    2014/03/20 by Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. The porous medium equation with measure data on negatively curved Riemannian manifolds
    2015/07/31 by Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)
  7. Sharp Poincar 'e-Hardy and Poincar 'e-Rellich inequalities on the\n hyperbolic space
    2015/07/08 by Elvise Berchio, Debdip Ganguly, Berchio, Elvise +3 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
  8. The porous medium equation on Riemannian manifolds with negative\n curvature: the superquadratic case
    2017/10/17 by Gabriele Grillo, Grillo, Gabriele, Matteo Muratori +2 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  9. Blow-up and global existence for semilinear parabolic equations on infinite graphs
    2024/06/21 by Grillo, Gabriele, Meglioli, Giulia, Punzo, Fabio · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Fast diffusion on noncompact manifolds: well-posedness theory and connections with semilinear elliptic equations
    2020/03/27 by Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio · 1 citation
    #35A01 #35A02 #35K67 #53C21 #58J35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 35R01. Secondary: 35K65
  11. The Fractional Porous Medium Equation on noncompact Riemannian manifolds
    2021/09/22 by Elvise Berchio, Matteo Bonforte, Berchio, Elvise +5 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
  12. A porous medium equation with rough weights: sharp Widder theory
    2025/06/09 by Grillo, Gabriele, Muratori, Matteo, Petitt, Troy +1 · 1 citation
    #35A01 #35A02 #35B45 #35J08 #35K65 #35R06. Secondary: 28A33 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35R05