10 papers
On the second-order regularity of widely degenerate elliptic systems
Felice Iandoli, Berardino Sciunzi, Domenico Vuono
The paper establishes local second‑order regularity for solutions of highly degenerate elliptic systems near their critical set and shows that the degenerate region has zero Lebesg…
Monotonicity of non-negative solutions of quasilinear elliptic equations in a cylindrical domain
Luigi Montoro, Luigi Muglia, Berardino Sciunzi +1
We consider weak solutions to -Laplace equations in cylindrical domains under mixed homogeneous Dirichlet-Neumann boundary conditions. We assume that the right-hand side is posi…
Classification of singular solutions to the subcritical Lane-Emden equation in
Francesco Esposito, Luigi Muglia, Berardino Sciunzi +1
We provide a classification result of positive solutions with a non-removable singularity at the origin to the subcritical Lane-Emden equation in $\mathbb{R}^N \set…
Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems
Laura Baldelli, Francesco Esposito, Rafael Lopez-Soriano +1
The aim of this paper is to prove radial symmetry results for positive weak solutions with finite energy to the following quasilinear doubly critical system \begin{equation} \begin…
An extension of Cabré-Chanillo theorem to the -laplacian
Massimo Grossi, Luigi Montoro, Berardino Sciunzi +1
In this paper, we study the critical points of stable solutions for the following -laplacian equation \begin{equation*} \begin{cases} -div\big(|\nabla u|^{p-2}\nabla u\big)=f(u)…
Monotonicity and Liouville-type theorems for semilinear elliptic problems in the half space
Berardino Sciunzi, Domenico Vuono
We consider classical solutions to in half-spaces, under homogeneous Dirichlet boundary conditions. We prove that any positive solution is strictly monotone increasin…