Ground state solution for quasilinear elliptic equation with critical growth in RNRN

In this paper, we prove the existence of ground state solutions for a class of quasilinear elliptic equation with critical growth in RNRN, and show that the Mountain Pass value gives the least energy level. Our proof is based on the Ekeland variational principle, the concentration compactness principle of Lions and Pohozaev identity manifold.