Yuki Osada

collaborators

2 papers

math.AP2026

Standing waves for defocusing nonlinear SchrÃ¶dinger equations with point interaction

Noriyoshi Fukaya, Yuki Osada, Mario Rastrelli

We consider standing waves of the nonlinear SchrÃ¶dinger equation $i \partial_{t} u = - I^_{I^} \pm u + ∣ u ∣^{p - 1} u$ in the defocusing case in dimensions $N = 2$ and $N = 3$ . Here, $- I^_{I^} \pm$ denote…

math.AP2025

Coupled nonlinear SchrÃ¶dinger equations with point interaction: existence and asymptotic behaviour

Yuki Osada, Alessio Pomponio

In this paper we deal with the following weakly coupled nonlinear SchrÃ¶dinger system \begin{align*} \begin{cases} - Î_Î±u + Ïu = |u|^2 u + Î²u |v|^2&\quad \mathrm{in}\ \mathbb{R…