1 citations · 2 across the 8 of their papers we have counts for
8 papers
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…
A Liouville theorem in the Heisenberg group
Giovanni Catino, Yanyan Li, Dario D. Monticelli +1
In this paper we classify positive solutions to the critical semilinear elliptic equation in . We prove that they are the Jerison-Lee's bubbles, provided or $n\…
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…
Matrix Weights and Regularity for Degenerate Elliptic Equations
Giuseppe Di Fazio, Maria Stella Fanciullo, Dario Daniele Monticelli +2
We prove local boundedness, Harnack's inequality and local regularity for weak solutions of quasilinear degenerate elliptic equations in divergence form with Rough coefficients. De…
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…