Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity

Abstract The paper investigates the following fractional Schrödinger equation: (−Δ)su+V(x)u=K(x)f(u),x∈RN, $$\begin{aligned} (-\Delta )^{s}u+V(x)u=K(x)f(u), \quad x\in \mathbb{R}^{N}, \end{aligned}$$ where 0<s<1 $0< s<1$, 2s<N $2s< N$, (−Δ)s $(-\Delta )^{s}$ is the fractional Lapla...

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Bibliographic Details
Main Authors: Yongzhen Yun, Tianqing An, Jiabin Zuo, Dafang Zhao
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1175-3