S. Cingolani

activity

20072025

most citedMultiple solutions to a magnetic nonlinear Choquard equation

208 citations · 478 across the 22 of their papers we have counts for

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Showing 2024 · math.APShow all

2 papers · 2 filters

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

New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D

Natalino Borgia, Silvia Cingolani, Gabriele Mancini

The present survey is devoted to results on Trudinger-Moser inequalities in two dimension. We give a brief overview of the history of these celebrated inequalities and, starting fr…

Normalized solutions for nonlinear Schrödinger equations with L2-critical nonlinearity

New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D

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