Fractional Schrodinger equations with new conditions
In this article, we study the nonlinear fractional Schrodinger equation $$\displaylines{ (-\Delta)^{\alpha}u+ V(x)u= f(x,u)\cr u\in H^{\alpha}(\mathbb{R}^{n},\mathbb{R}), }$$ where $(-\Delta)^{\alpha}(\alpha \in (0, 1))$ stands for the fractional Laplacian of order $\alpha$, $x\in \mathbb{R...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2018-01-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2018/05/abstr.html |