Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki–Lions type nonlinearity

Abstract We consider the following nonlinear fractional Schrödinger equation: (−△)su+V(x)u=g(u)in RN, $$ (-\triangle )^{s} u+V(x)u=g(u) \quad \text{in } \mathbb{R} ^{N}, $$ where s∈(0,1) $s\in (0, 1)$, N>2s $N>2s$, V(x) $V(x)$ is differentiable, and g∈C1(R,R) $g\in C ^{1}(\mathbb{R} , \mathbb{...

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Bibliographic Details
Main Authors: Jing Chen, Zu Gao
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1260-7