25 citations · 48 across the 36 of their papers we have counts for
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Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni +1
In this paper we study positive solutions to the CR Yamabe equation in noncompact -dimensional Sasakian manifolds with nonnegative curvature. In particular, we show that th…
Nonexistence of solutions to parabolic problems with a potential on weighted graphs
Dario D. Monticelli, Fabio Punzo, Jacopo Somaglia
We investigate nonexistence of nontrivial nonnegative solutions to a class of semilinear parabolic equations with a positive potential, posed on weighted graphs. Assuming an upper…
The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach
Gabriele Grillo, Dario D. Monticelli, Fabio Punzo
We consider the porous medium equation (PME) on complete noncompact manifolds of nonnegative Ricci curvature. We require nonparabolicity of the manifold and construct a natural…