  It is established some existence and multiplicity of solution results for a
quasilinear elliptic problem driven by $\Phi$-Laplacian operator. One of these
solutions is built as a ground state solution. In order to prove our main
results we apply the Nehari method combined with the concentration compactness
theorem in an Orlicz-Sobolev framework. One of the difficulties in dealing with
this kind of operator is the lost of homogeneity properties.
