2 citations · 4 across the 18 of their papers we have counts for
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Uniqueness in weighted spaces for the Schrödinger equation on infinite graphs
Giulia Meglioli, Fabio Punzo
We investigate uniqueness of solutions to Schrödinger-type elliptic equations posed on infinite graphs. Solutions are assumed to belong to suitable weighted spaces where $…
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…