3 papers
math.AP2024
On the existence of a second positive solution to mixed local-nonlocal concave-convex critical problems
Stefano Biagi, Eugenio Vecchi
We prove the existence of a second positive weak solution for mixed local-nonlocal critical semilinear elliptic problems with a sublinear perturbation in the spirit of [Ambrosetti,…
math.AP2023
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…
math.AP2014
The Strong Maximum Principle and the Harnack inequality for a class of hypoelliptic divergence-form operators
Erika Battaglia, Stefano Biagi, Andrea Bonfiglioli
In this paper we consider a class of hypoelliptic second-order partial differential operators in divergence form on , arising from CR geometry and Lie g…