Coupled nonlinear Schrödinger equations with point interaction: existence and asymptotic behaviour

Yuki Osada, Alessio Pomponio

In this paper we deal with the following weakly coupled nonlinear Schrödinger system \begin{align*} \begin{cases} - Δ_αu + ωu = |u|^2 u + βu |v|^2&\quad \mathrm{in}\ \mathbb{R}^2,\…