78 citations · 172 across the 51 of their papers we have counts for
60 papers
Rigidity results via a Poincaré type formula for stable solutions of quasilinear anisotropic elliptic equations
Berardino Sciunzi, Domenico Vuono
In this paper we prove some one-dimensional symmetry results for stable solutions to quasilinear anisotropic elliptic equations in and . In this regard,…
On the second-order regularity of widely degenerate elliptic systems
Felice Iandoli, Berardino Sciunzi, Domenico Vuono
We prove local second-order regularity near the critical set for widely degenerate elliptic systems, and show that this degenerate region has zero Lebesgue measure provided the sou…
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 \setm…
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)…