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...

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Bibliographic Details
Main Author: Abderrazek Benhassine
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