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 2015Show all

2 papers · 1 filter

math.AP2015★ 1 cited

Monotonicity in half-spaces of positive solutions to $- Δ_{p} u = f (u)$ in the case $p > 2$

Alberto Farina, Luigi Montoro, Berardino Sciunzi

We consider weak distributional solutions to the equation $- Δ_{p} u = f (u)$ in half-spaces under zero Dirichlet boundary condition. We assume that the nonlinearity is positive and super…

math.AP2015★ 3 cited

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Serena Dipierro, Luigi Montoro, Ireneo Peral +1

We prove the existence, qualitative properties and asymptotic behavior of positive solutions to the doubly critical problem $$ (-Δ)^s u=\vartheta\frac{u}{|x|^{2s}}+u^{2_s^*-1}, \qu…

Monotonicity in half-spaces of positive solutions to −Δp​u=f(u) in the case p>2

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Monotonicity in half-spaces of positive solutions to $- Δ_{p} u = f (u)$ in the case $p > 2$