  In this note we show the existence of at least three nontrivial solutions to
the following quasilinear elliptic equation $-\Delta_p u = |u|^{p^*-2}u +
\lambda f(x,u)$ in a smooth bounded domain $\Omega$ of $\R^N$ with homogeneous
Dirichlet boundary conditions on $\partial\Omega$, where $p^*=Np/(N-p)$ is the
critical Sobolev exponent and $\Delta_p u =div(|\nabla u|^{p-2}\nabla u)$ is
the $p-$laplacian. The proof is based on variational arguments and the
classical concentrated compactness method.
