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- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT64 papers
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- University of Milano-BicoccaIT31 papers
- Centre National de la Recherche ScientifiqueFR30 papers
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- Benemérita Universidad Autónoma de PueblaMX21 papers
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31 papers · 1 filter
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 $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\…
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, we…
Asymptotic decay of solutions for sublinear fractional Choquard equations
Marco Gallo
Goal of this paper is to study the asymptotic behaviour of the solutions of the following doubly nonlocal equation …
Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
In this paper we study the following nonlinear fractional Choquard-Pekar equation \begin{equation}\label{eq_abstract} (-Δ)^s u + μu =(I_α*F(u)) F'(u) \quad \hbox{in}\ \mathbb{R}^N,…
Elastic membranes spanning deformable boundaries
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi +1
We perform a variational analysis of an elastic membrane spanning a closed curve which may sustain bending and torsion. First, we deal with parametrized curves and linear elastic m…
Complete ionization for a non-autonomous point interaction model in d = 2
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
We consider the two dimensional Schrödinger equation with time dependent delta potential, which represents a model for the dynamics of a quantum particle subject to a point interac…