Positive solution for a class of p&qp&q-singular elliptic equation

In this paper we prove a result of the existence of a positive solution for the following class of p&qp&q-singular problems: −div(a(|∇u|p)|∇u|p−2∇u)=1uα+uβ,u(x)>0u(x)>0 for all x∈Ωx∈Ω, u=0u=0 on ∂Ω∂Ω, where ΩΩ is a bounded smooth domain in RNRN with N≥3N≥3, 2≤p