Marco Gallo

activity

20202026

most citedNormalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

37 citations · 83 across the 15 of their papers we have counts for

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Showing 2024 · math.APShow all

3 papers · 2 filters

math.AP2024★ 2 cited

Power law convergence and concavity for the Logarithmic Schrödinger equation

Marco Gallo, Sunra Mosconi, Marco Squassina

We study concavity properties of positive solutions to the Logarithmic Schrödinger equation $- Δ u = u lo g u^{2}$ in a general convex domain with Dirichlet conditions. To this aim, we…

math.AP2024

Normalized solutions for nonlinear Schrödinger equations with $L^{2}$ -critical nonlinearity

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study the following nonlinear Schrödinger equation and we look for normalized solutions $(μ, u) \in R \times H^{1} (R^{N})$ for a given $m > 0$ and $N \geq 2$ \[ -Δu + μu = g(u…

math.AP2024★ 1 cited

Concavity and perturbed concavity for $p$ -Laplace equations

Marco Gallo, Marco Squassina

In this paper we study convexity properties for quasilinear Lane-Emden-Fowler equations of the type $$\begin{cases} -Δ_p u = a(x) u^q & \quad \hbox{ in $Ω$ },\\ u >0 & \quad \hbox{…

Power law convergence and concavity for the Logarithmic Schrödinger equation

Normalized solutions for nonlinear Schrödinger equations with L2-critical nonlinearity

Concavity and perturbed concavity for p-Laplace equations

Normalized solutions for nonlinear Schrödinger equations with $L^{2}$ -critical nonlinearity

Concavity and perturbed concavity for $p$ -Laplace equations