L. Montoro

activity

20092026

most citedMonotonicity and symmetry of singular solutions to quasilinear problems

11 citations · 26 across the 27 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.AP2023

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 $p$ -Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbo…

math.AP2023

Asymptotic behaviour of solutions to the anisotropic doubly critical equation

Francesco Esposito, Luigi Montoro, Berardino Sciunzi +1

The aim of this paper is to deal with the anisotropic doubly critical equation $- Δ_{p}^{H} u - \frac{γ}{[ H ^{\circ} ( x ) ] ^{p}} u^{p - 1} = u^{p^{*} - 1} in R^{N},$ where $H$ is in som…

math.AP2023★ 2 cited

Optimal second order boundary regularity for solutions to $p$ -Laplace equations

Luigi Montoro, Luigi Muglia, Berardino Sciunzi

Solutions to $p$ -Laplace equations are not, in general, of class $C^{2}$ . The study of Sobolev regularity of the second derivatives is, therefore, a crucial issue. An important contr…

math.AP2023

Classification of solutions to $Δ u = u^{- γ}$ in the half-space

Luigi Montoro, Luigi Muglia, Berardino Sciunzi

We provide a classification result for positive solutions to $Δ u = u^{- γ}$ in the half space, under zero Dirichlet boundary condition.

Regularity and symmetry results for the vectorial p-Laplacian

Asymptotic behaviour of solutions to the anisotropic doubly critical equation

Optimal second order boundary regularity for solutions to p-Laplace equations

Classification of solutions to Δu=u−γ in the half-space

Optimal second order boundary regularity for solutions to $p$ -Laplace equations

Classification of solutions to $Δ u = u^{- γ}$ in the half-space