25 citations · 48 across the 36 of their papers we have counts for
3 papers · 2 filters
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…