Abstract

In this work, we use variational methods to prove the existence of heteroclinic and saddle-type solutions for a class quasilinear elliptic equations of the form [Formula: see text] where [Formula: see text] is a N-function, [Formula: see text] is a periodic positive function and [Formula: see text] is modeled on the Ginzburg–Landau potential. In particular, our main result includes the case of the potential [Formula: see text], which reduces to the classical double well Ginzburg–Landau potential when [Formula: see text], that is, when we are working with the Laplacian operator.

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