A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator

In this work we prove a Berestycki–Lions type result for the following class of problems: [Formula: see text] where [Formula: see text] is the [Formula: see text]-Laplacian operator and [Formula: see text] is a continuous function satisfying some technical conditions. Here we apply variational methods by using [Formula: see text]-Laplacian problems and taking the limit when [Formula: see text].