Multiple solutions for a class of fractional (p, q)–Laplacian system in RN

In this work, the symmetric mountain pass lemma is employed to establish the existence of infinitely many solutions to the fractional (p, q)-Laplacian system: (−Δ)psu+V1(x)|u|p−2u=α−1Fu(x,u,v)+λb1(x)|u|m−2u and (−Δ)qsv+V2(x)|v|q−2v=α−1Fv(x,u,v)+μb2(x)|v|k−2v in RN, where (−Δ)ps and (−Δ)qs are the fractional p and q-Laplacian operators, respectively, and 0 < s < 1 < q ≤ p, sp < N, p