摘要：In this paper we investigate the existence of infinitely many solutions for nonlocal Schrödinger equation involving a magnetic potential $$ (-\triangle )_{A}^{s}u+V(x)u=f\bigl(x, \vert u \vert \bigr)u, \quad\text{in } {\mathbb {R}}^{N}, $$ where $s\in (0,1)$ is fixed, $N>2s$, $V:{\mathbb {R}}^{N}\rightarrow {\mathbb {R}}^{+}$ is an electric potential, the magnetic potential $A:{\mathbb {R}}^{N}\rightarrow {\mathbb {R}}^{N}$ is a continuous function, and $(-\triangle )_{A}^{s}$ is the fractional magnetic operator. Under suitable assumptions for the potential function V and nonlinearity f, we obtain the existence of infinitely many nontrivial high energy solutions by using the variant fountain theorem..
