Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s\in (0,1)$,$ p \geq 2$,$ N \geq 2$,$(-\Delta)^{s}{p}$isthefractional$p$-Laplace operator, the nonlinearity f is $p$-superlinear at infinity and the potential V(x) is allowed to be sign-changing.