6 papers
Nonexistence results for semilinear elliptic equations on weighted graphs
Dario Daniele Monticelli, Fabio Punzo, Jacopo Somaglia
We study semilinear elliptic inequalities with a potential on infinite graphs. Given a distance on the graph, we assume an upper bound on its Laplacian, and a growth condition on a…
A Liouville theorem for elliptic equations with a potential on infinite graphs
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable assumptions on the graph and on t…
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…
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…
Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations
Fabio Punzo, Marta Strani
We study existence and uniqueness of solutions to a class of nonlinear degenerate parabolic equations, in bounded domains. We show that there exists a unique solution which satisfi…
Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential both on $\erre^m$ and on Riemannian manifolds. In particular, we investigate the…