Multiple nontrivial solutions for critical growth quasilinear elliptic systems

In the present paper, we consider the following critical growth quasilinear elliptic system {−Δpui=1p∗DuiF(u)+λi|ui|q−2uiin Ω,i=1,…,k,ui=0on ∂Ω,i=1,…,k. By exploiting the Nehari manifold and variational methods, we obtain the existence and multiplicity results of nontrivial solutions for the system.