7 papers · 1 filter
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 $$\begin{cases} -Î_p u = a(x) u^q & \quad \hbox{ in },\\ u >0 & \quad \hbox…
A Pohožaev minimization for normalized solutions: fractional sublinear equations of logarithmic type
Marco Gallo, Jacopo Schino
In this paper, we search for normalized solutions to a fractional, nonlinear, and possibly strongly sublinear Schrödinger equation $$(-Î)^s u + μu = g(u) \quad \hbox{in $\mathbb…