6 citations · 19 across the 55 of their papers we have counts for
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Nonexistence results for elliptic differential inequalities with a potential in bounded domains
Dario D. Monticelli, Fabio Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of and of Riemannian manifolds. In particu…
The porous medium equation with large initial data on negatively curved Riemannian manifolds
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We show existence and uniqueness of very weak solutions of the Cauchy problem for the porous medium equation on Cartan-Hadamard manifolds satisfying suitable lower bounds on Ricci…
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable…
Pointwise estimates for solutions of semilinear parabolic inequalities with a potential
Luigi Montoro, Fabio Punzo, Berardino Sciunzi
We obtain pointwise estimates for solutions of semilinear parabolic equations with a potential on connected domains both of and of general Riemannian manifolds.