2 papers
math.AP2025
Ground states of the planar nonlinear Schrödinger--Newton system with a point interaction
Gustavo de Paula Ramos
We establish sufficient conditions for the existence of ground states of the following normalized nonlinear Schrödinger--Newton system with a point interaction: \[ \begin{cases} -…
math.AP2023
Existence and concentration of semiclassical bound states for a quasilinear Schrödinger-Poisson system
Gustavo de Paula Ramos, Gaetano Siciliano
In the paper we consider the following quasilinear Schrödinger--Poisson system in the whole space $$ \begin{cases} - \varepsilon^2 Δu + (V + ϕ) u = u |u|^{p - 1} \n…