8 papers
Overdetermined problems for the rotationally invariant Poisson equation in model manifolds
Antonio Greco, Marcello Lucia, Pieralberto Sicbaldi
We present rigidity results for overdetermined problems associated to the rotationally invariant Poisson equation in a model manifold $\mathcal{M} = […
Non-autonomous overdetermined problems for the normalized p-Laplacian
Lucio Cadeddu, Antonio Greco, Benyam Mebrate
We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity.…
Symmetry and monotonicity results for solutions of semilinear PDEs in sector-like domains
Antonio Greco, Francesca Gladiali
In this manuscript we consider semilinear PDEs, with a convex nonlinearity, in a sector-like domain. Using cylindrical coordinates , we investigate the shape of solution…
An overdetermined problem associated to the Finsler Laplacian
Giulio Ciraolo, Antonio Greco
We prove a rigidity result for the anisotropic Laplacian. More precisely, the domain of the problem is bounded by an unknown surface supporting a Dirichlet condition together with…
On the solvability of a two-dimensional Ventcel problem with variable coefficients
Antonio Greco, Giuseppe Viglialoro
This paper deals with the following mixed boundary value problem \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases} -Δu = f &\mbox{in ,} \\ u = φ&\mbox{on $Γ…
Foliated Schwarz symmetry of solutions to a cooperative system of equations involving nonlocal operators
Antonio Greco, Sven Jarohs
In this paper, we prove foliated Schwarz symmetry of solutions to a cooperatively coupled system of equations involving nonlocal operators. Here, the class of nonlocal operators co…