2 citations · 4 across the 7 of their papers we have counts for
10 papers
Global existence for reaction-diffusion evolution equations driven by the -Laplacian on manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We consider reaction-diffusion equations driven by the -Laplacian on noncompact, infinite volume manifolds assumed to support the Sobolev inequality and, in some cases, to have…
Uniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds
Giulia Meglioli, Alberto Roncoroni
We investigate the uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of elliptic equations with a drift posed on a complete, noncompact, Riemannian manifold…
Uniqueness for fractional parabolic and elliptic equations with drift
Giulia Meglioli, Fabio Punzo
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations with a drift.
Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients
Giulia Meglioli
We study global in time existence versus blow-up in finite time of solutions to the Cauchy problem for the porous medium equation with a variable density and a power-like re…
Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains
Giulia Meglioli, Dario D. Monticelli, Fabio Punzo
We are concerned with nonexistence results for a class of quasilinear parabolic differential problems with a potential in , where is a bounded domain. In pa…
Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
We consider the porous medium equation with a power-like reaction term, posed on Riemannian manifolds. Under certain assumptions on and in (1.1), and for small enough nonne…