Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

Abstract This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p –Laplacian and critical exponent. As a particular case, we study the following degenerate Kirchhoff-type nonlocal problem: ‖ u ‖ λ ( θ − 1 ) p λ ( − Δ ) p s u + V ( x ) | u | p − 2 u = | u | p s ⋆ − 2 u + f ( x , u ) i n ℝ N , ‖ u ‖ λ = ( λ ∫ ℝ ∫ 2 N | u ( x ) − u