Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2

In this work, we use variational methods to prove the existence of heteroclinic and saddle type solutions for a class of quasilinear elliptic equations of the form $-\Delta_\Phi(u)+A(x,y)V'(u)=0$, $(x,y)\in\R^2$, where $\Phi:\R\to[0,+\infty)$ is an N-function, $A:\R^2\to\R$ is a periodic positive function and $V:\R\to\R$ is modeled on the Ginzburg-Landau potential.