11 citations · 26 across the 27 of their papers we have counts for
34 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 te…
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 $$-Δu + (-Δ)^s u…
The Classification of all weak solutions to in the half-space
Luigi Montoro, Luigi Muglia, Berardino Sciunzi
We provide the classification of all the positive solutions to in the half space, under minimal assumption.
Regularity and symmetry results for the vectorial p-Laplacian
Luigi Montoro, Luigi Muglia, Berardino Sciunzi +1
We obtain some regularity results for solutions to vectorial -Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbo…