26 citations · 48 across the 30 of their papers we have counts for
38 papers
On the subcritical Lane-Emden equation on Riemannian models with polynomial volume growth
Alessandra De Luca, Matteo Muratori, Nicola Soave
We focus on the problems of existence and non-existence of positive solutions for the Sobolev-subcritical Lane-Emden equation on certain Riemannian manifolds (mainly models) with a…
Concentration comparison for nonlinear diffusion on model manifolds and Pólya-Szegő inequality
Matteo Muratori, Bruno Volzone
We investigate the validity of the mass concentration comparison for a class of nonlinear diffusion equations posed on Riemannian manifolds that are spherically sy…
A porous medium equation with rough weights: sharp Widder theory
Gabriele Grillo, Matteo Muratori, Troy Petitt +1
We establish an optimal \emph{Widder theory} for a weighted porous medium equation with rough and inhomogeneous density that may be singular at a point and tends to zero at spatial…
Moduli of continuity and absolute continuity: any relation?
Matteo Muratori, Jacopo Somaglia
We construct a monotone, continuous, but not absolutely continuous function whose minimal modulus of continuity is absolutely continuous. In particular, we establish that there is…
An inhomogeneous porous medium equation with non-integrable data: asymptotics
Matteo Muratori, Troy Petitt, Fernando Quirós
We investigate the asymptotic behavior as of solutions to a weighted porous medium equation in , whose weight behaves at spatial infinity like…
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{…