Stefano Biagi

activity

20132026

most citedThe existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method

25 citations · 69 across the 37 of their papers we have counts for

collaborators

Showing 2019Show all

7 papers · 1 filter

math.AP2019★ 17 cited

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…

math.CA2019★ 1 cited

Existence results for boundary value problems associated with singular strongly nonlinear equations

Stefano Biagi, Alessandro Calamai, Francesca Papalini

We consider a strongly nonlinear differential equation of the following general type $(Φ (a (t, x (t)) x^{'} (t)))^{'} = f (t, x (t), x^{'} (t)), a.e. on [0, T]$ where $f$ is a Cara…

math.AP2019

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 $Γ$ for the parabolic operators $\mathcal{H}=\sum_{j=1}^m X_j^2-…

math.AP2019

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…

math.AP2019

Global estimates in Sobolev spaces for homogeneous Hörmander sums of squares

Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti

Let $L = \sum_{j = 1}^{m} X_{j}^{2}$ be a Hörmander sum of squares of vector fields in space $R^{n}$ , where any $X_{j}$ is homogeneous of degree $1$ with respect to a family o…

math.AP2019

Global estimates for the fundamental solution of homogeneous Hörmander operators

Stefano Biagi, Andrea Bonfiglioli, Marco Bramanti

Let $L = \sum_{j = 1}^{m} X_{j}^{2}$ be a Hörmander sum of squares of vector fields in $R^{n}$ , where any $X_{j}$ is homogeneous of degree $1$ with respect to a famil…

math.AP2019

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…