Normalized solutions for a coupled fractional schrodinger system in low dimensions

Autor: Li, Meng, He, Jinchun, Xu, Haoyuan, Yang, Meihua
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: We consider the following coupled fractional Schr\"{o}dinger system: \begin{equation*} \left\{ \begin{aligned} &(-\Delta)^su+\lambda_1u=\mu_1|u|^{2p-2}u+\beta|v|^p|u|^{p-2}u\\ &(-\Delta)^sv+\lambda_2v=\mu_2|v|^{2p-2}v+\beta|u|^p|v|^{p-2}v\\ \end{aligned} \right.\quad\text{in}~{\mathbb{R}^N}, \end{equation*} with $00$ .
Databáze: arXiv