Existence of positive solutions for a nonlocal problem with dependence on the gradient

In this article, we study the existence of positive solutions for the nonlocal problem {−M(x,∫Ω|∇u|pdx)Δpu=f(x,u,|∇u|p−2∇u)in  Ω,u=0on  ∂Ω, where ΩΩ is a bounded smooth domain of RNRN, N≥3N≥3, M:Ω¯×R→R and f:Ω¯×R×RN→R are continuous functions.