135 citations · 360 across the 30 of their papers we have counts for
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Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models
Elvise Berchio, Alberto Ferrero, Gabriele Grillo
We study existence, uniqueness and stability of radial solutions of the Lane-Emden-Fowler equation in a class of Riemannian models of dimension …
Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field
Gabriele Grillo, Hynek Kovarik
We consider two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field and an additional electric potential. We obtain an explicit leading term of the asymptotic e…
Conditions at infinity for the inhomogeneous filtration equation
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in , approaching at infinity a given continuous datum o…
Sharp short and long time bounds for solutions to porous media equations with Neumann boundary conditions
Gabriele Grillo, Matteo Muratori
We study a class of nonlinear diffusion equations whose model is the classical porous media equation on domains , , with homogeneous Neumann boundar…
Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities
Gabriele Grillo, Matteo Muratori, Maria Michaela Porzio
We study weighted porous media equations on domains , either with Dirichlet or with Neumann homogeneous boundary conditions when . Exi…
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
The purpose of this paper is to prove local upper and lower bounds for weak solutions of semilinear elliptic equations of the form , with , defined…