A Kirchhoff Type Equation in RN Involving the fractional (p, q)-Laplacian

In this paper, we deal with the following class of fractional ( p , q )-Laplacian Kirchhoff type problem: $${aligned} \{ {array}{ll} ( 1+[u]s,pᵖ) (-Δ )ₚˢu+ ( 1+[u]qs, q) (-Δ )qˢu + V(ε x) (|u|ᵖ⁻²u + |u|q-2u)= f(u) &{} in RN, \\ u∈ Ws, p(RN)∩ Ws,q(RN), u>0 in RN, {array} . {aligned}$$ 1 + [ u ] s , p p ( - Δ ) p s u + 1 + [ u ] s , q q ( - Δ ) q s u + V ( ε x ) ( | u | p - 2 u + | u | q - 2 u ) = f ( u ) in R N , u ∈ W s , p ( R N ) ∩ W s , q (</m