Matteo Muratori

most citedNonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2020★ 1 cited

Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

Tatsuki Kawakami, Matteo Muratori

It is well known that the Euclidean Sobolev inequality holds on any Cartan-Hadamard manifold of dimension $n \geq 3$ , i.e. any complete, simply connected Riemannian manifold with n…

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…

Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

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