Marco Gallo

activity

20242026

collaborators

6 papers

math.DG2026

On the Calabi estimate of geometric flows of Hermitian metrics

Marco Gallo, Luigi Vezzoni

We establish a general result ensuring a $C^{1}$ a priori bound for smooth curves of Hermitian metrics. As a main application, we obtain a new regularity result for Hermitian curvatu…

math.AP2026

A Lagrangian approach for prescribed mass solutions of cubic-quintic Schrödinger equations and $L^{2}$ -supercritical problems

Silvia Cingolani, Marco Gallo, Kazunaga Tanaka

We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in $R^{N}$ ( $N \geq 2$ ): $$ (*)_m \quad - Δu + μu = g(u) \quad \text{…

math.AP2025

Normalized ground states for NLS equations with mass critical nonlinearities

Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1

We study normalized solutions $(μ, u) \in R \times H^{1} (R^{N})$ to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…

math.AP2025

Quantitative and exact concavity principles for parabolic and elliptic equations

Marco Gallo, Riccardo Moraschi, Marco Squassina

Goal of this paper is to study classes of Cauchy-Dirichlet problems which include parabolic equations of the type $u_{t} - Δ u = a (x, t) f (u) in Ω \times (0, T)$ with $Ω\subse…

math.AP2024

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