On a class of nonlocal elliptic systems of (p,q)(p,q)-Kirchhoff type

In this paper, we establish the existence of at least three solutions for the following nonlocal elliptic system of (p,q)(p,q)-Kirchhoff type -[M1(∫Ω|∇u|pdx)]p-1Δpu=λFu(x,u,v)+μGu(x,u,v)-M1∫Ω|∇u|pdxp-1Δpu=λFu(x,u,v)+μGu(x,u,v) in Ω,-M2∫Ω|∇v|qdxq-1Δqv=λFv(x,u,v)+μGv(x,u,v) in Ω,u=v=0 on ∂Ω∂Ω. Our technical approach is based on the three critical points theorem of Ricceri.