25 citations · 48 across the 36 of their papers we have counts for
41 papers
Fractional porous medium equation on manifolds with nonnegative Ricci curvature: existence of solutions and smoothing effects via potential methods
Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Daniele Monticelli
We study the fractional porous medium equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature for and . Assuming that the manifold i…
Quasilinear Liouville equation on manifolds with nonnegative Ricci curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
We prove rigidity and classification results for the quasilinear Liouville equation associated with the -Laplacian on complete noncompact Riemannian manifolds with nonnegative R…
Rigidity of solutions to singular/degenerate semilinear critical equations
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni
This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in , with…
Nonexistence results for the semilinear wave equation on graphs
Dario Daniele Monticelli, Fabio Punzo, Jacopo Somaglia
We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative…
Nonexistence of Solutions to classes of parabolic inequalities in the Riemannian setting
Dorothea-Enrica von Criegern, Gabriele Grillo, Dario Monticelli
We establish conditions for nonexistence of global solutions for a class of quasilinear parabolic problems with a potential on complete, non-compact Riemannian manifolds, including…
A Liouville-type property for degenerate-elliptic equations modeled on Hörmander vector fields
Stefano Biagi, Dario Daniele Monticelli, Fabio Punzo
We obtain Liouville type theorems for degenerate elliptic equation with a drift term and a potential. The diffusion is driven by Hörmander operators. We show that the conditions im…