Multiple solutions for fractional Schrodinger equations

In this article we study the fractional Schr\"odinger equations $$ (-\Delta)^{\alpha}u+V(x)u=f(x,u) \quad\text{in }\mathbb{R}^{N}, $$ where $0<\alpha<1$, $N\geq2$, $(-\Delta)^{\alpha}$ stands for the fractional Laplacian of order $\alpha$. First by using Morse theory in combination...

Full description

Bibliographic Details
Main Authors: Hongxia Shi, Haibo Chen
Format: Article
Language:English
Published: Texas State University 2015-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/25/abstr.html