8 papers
On the Calabi estimate of geometric flows of Hermitian metrics
Marco Gallo, Luigi Vezzoni
We establish a general result ensuring a a priori bound for smooth curves of Hermitian metrics. As a main application, we obtain a new regularity result for Hermitian curvatu…
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 in a general convex domain with Dirichlet conditions. To this aim,…
A Lagrangian approach for prescribed mass solutions of cubic-quintic Schrödinger equations and -supercritical problems
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in (): $$ (*)_m \quad - Îu + μu = g(u) \quad \tex…
Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma +1
We study normalized solutions to nonlinear Schrödinger equations $$ -Îu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}…
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 with $Ω\su…
Concavity and perturbed concavity for -Laplace equations
Marco Gallo, Marco Squassina
In this paper we study convexity properties for quasilinear Lane-Emden-Fowler equations of the type $$\begin{cases} -Î_p u = a(x) u^q & \quad \hbox{ in },\\ u >0 & \quad \hbox…