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

collaborators

Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020★ 10 cited

On the fractional NLS equation and the effects of the potential well's topology

Silvia Cingolani, Marco Gallo

In this paper we consider the fractional nonlinear Schrödinger equation $ε^{2 s} (- Δ)^{s} v + V (x) v = f (v), x \in R^{N}$ where $s \in (0, 1)$ , $N \geq 2$ , $V \in…

math.AP2020

Concentration phenomena for the Schrödinger-Poisson system in $R^{2}$

Denis Bonheure, Silvia Cingolani, Simone Secchi

We perform a semiclassical analysis for the planar Schrödinger-Poisson system \[ \cases{ -\varepsilon^{2} Δψ+V(x)ψ= E(x) ψ\quad \text{in $R^{2}$ },\cr -ΔE= |ψ|^{2} \quad \tex…

On the fractional NLS equation and the effects of the potential well's topology

Concentration phenomena for the Schrödinger-Poisson system in R2

Concentration phenomena for the Schrödinger-Poisson system in $R^{2}$