Multiple Minimal Nodal Solutions for a Quasilinear Schrodinger Equation with Symmetric Potential

We deal with the quasilinear Schr\"odinger equation $-\mbox{div}(|\nabla u|^{p-2}\nabla u) + (\lambda a(x)+1)|u|^{p-2}u=|u|^{q-2}u$, $u \in W^{1,p}(\real^N)$, where $2 \leq p < N$, $\lambda>0$ and $p