Publications (24)
Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities
Gabriele Grillo, Matteo Muratori, Maria Michaela Porzio
Conditions at infinity for the inhomogeneous filtration equation
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1
Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
Matteo Bonforte, Filippo Gazzola, Gabriele Grillo +1
The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
Radial Fast Diffusion on the Hyperbolic Space
Gabriele Grillo, Matteo Muratori
Sharp two-sided heat kernel estimates of twisted tubes and applications
Gabriele Grillo, Hynek KovaÅÃk, Yehuda Pinchover
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
Luca Fanelli, Gabriele Grillo, Hynek Kovarik
Asymptotics of the fast diffusion equation via entropy estimates
Adrien Blanchet, Matteo Bonforte, Jean Dolbeault +2
Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models
Elvise Berchio, Alberto Ferrero, Gabriele Grillo
Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
Elvise Berchio, Debdip Ganguly, Gabriele Grillo
Sharp short and long time $\mathbf L^{\boldsymbol \infty}$ bounds for solutions to porous media equations with Neumann boundary conditions
Gabriele Grillo, Matteo Muratori
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density
Gabriele Grillo, Matteo Muratori, Fabio Punzo
The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case
Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds
Gabriele Grillo, Matteo Muratori
Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field
Gabriele Grillo, Hynek Kovarik
Fractional porous media equations: existence and uniqueness of weak solutions with measure data
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Special fast diffusion with slow asymptotics. Entropy method and flow on a Riemannian manifold
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
The porous medium equation with large initial data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
Improved Multipolar Poincaré-Hardy inequalities on Cartan-Hadamard Manifolds
Elvise Berchio, Debdip Ganguly, Gabriele Grillo
The porous medium equation with measure data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo