6 citations · 19 across the 55 of their papers we have counts for
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Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density
Giulia Meglioli, Fabio Punzo
We are concerned with nonnegative solutions to the Cauchy problem for the porous medium equation with a variable density and a power-like reaction term with . The…
Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density
Giulia Meglioli, Fabio Punzo
We study existence of global solutions and finite time blow-up of solutions to the Cauchy problem for the porous medium equation with a variable density and a power-like rea…
The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity
Giovanni Catino, Dario Daniele Monticelli, Fabio Punzo
We prove an existence result for the Poisson equation on non-compact Riemannian manifolds satisfying weighted Poincaré inequalities outside compact sets. Our result applies to a la…
Uniqueness of very weak solutions for a fractional filtration equation
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We prove existence and uniqueness of distributional, bounded, nonnegative solutions to a fractional filtration equation in . With regards to uniqueness, it was shown…