5 papers
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…
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 results in half spaces for quasilinear elliptic equations involving a singular term
Luigi Montoro, Luigi Muglia, Berardino Sciunzi
We consider positive solutions to under zero Dirichlet condition in the half space. Exploiting a prio-ri estimates and the moving plane…
The Classification of all weak solutions to in the half-space
Luigi Montoro, Luigi Muglia, Berardino Sciunzi
We provide the classification of all the positive solutions to in the half space, under minimal assumption.
On mixed local-nonlocal problems with Hardy potential
Stefano Biagi, Francesco Esposito, Luigi Montoro +1
In this paper we study the effect of the Hardy potential on existence, uniqueness and optimal summability of solutions of the mixed local-nonlocal elliptic problem $$-Îu + (-Î)^s…