Matteo Muratori

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math.AP2023

The Lane-Emden system on Cartan-Hadamard manifolds: asymptotics and rigidity of radial solutions

Matteo Muratori, Nicola Soave

We investigate existence and qualitative properties of globally defined and positive radial solutions of the Lane-Emden system, posed on a Cartan-Hadamard model manifold $ \mathbb{…

math.AP2012

Sharp short and long time $L^{\infty}$ 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 $Ω \subseteq R^{N}$ , $N \geq 3$ , with homogeneous Neumann boundar…

math.AP2012

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 $Ω \subseteq R^{N}$ , either with Dirichlet or with Neumann homogeneous boundary conditions when $Ω \neq = R^{N}$ . Exi…

The Lane-Emden system on Cartan-Hadamard manifolds: asymptotics and rigidity of radial solutions

Sharp short and long time L∞ bounds for solutions to porous media equations with Neumann boundary conditions

Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities

Sharp short and long time $L^{\infty}$ bounds for solutions to porous media equations with Neumann boundary conditions