25 citations · 69 across the 37 of their papers we have counts for
6 papers · 2 filters
Nonzero positive solutions of elliptic systems with gradient dependence and functional BCs
Stefano Biagi, Alessandro Calamai, Gennaro Infante
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradi…
Global Heat Kernels for Parabolic Homogeneous Hörmander Operators
Stefano Biagi, Andrea Bonfiglioli
The aim of this paper is to prove the existence and several selected properties of a global fundamental Heat kernel for the parabolic operators $\mathcal{H}=\sum_{j=1}^m X_j^2-…
Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators
Stefano Biagi, Ermanno Lanconelli
Maximum Principles on unbounded domains play a crucial rôle in several problems related to linear second-order PDEs of elliptic and parabolic type. In this paper we consider a clas…
Global estimates in Sobolev spaces for homogeneous Hörmander sums of squares
Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti
Let be a Hörmander sum of squares of vector fields in space , where any is homogeneous of degree with respect to a family o…
Global estimates for the fundamental solution of homogeneous Hörmander operators
Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti
Let be a Hörmander sum of squares of vector fields in , where any is homogeneous of degree with respect to a famil…
A symmetry result for cooperative elliptic systems with singularities
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small…