78 citations · 172 across the 51 of their papers we have counts for
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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 increasing…
Global second order optimal regularity for the vectorial -Laplacian
Berardino Sciunzi, Giuseppe Spadaro, Domenico Vuono
We obtain optimal regularity results for solutions to vectorial -Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsy…
Monotonicity for solutions to semilinear problems in epigraphs
Nicolas Beuvin, Alberto Farina, Berardino Sciunzi
We consider positive solutions, possibly unbounded, to the semilinear equation on continuous epigraphs bounded from below. Under the homogeneous Dirichlet boundary condi…
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…