Existence and profile of ground-state solutions to a $1-$Laplacian problem in ${\mathbb{R}}^N$

Claudianor O. Alves, Giovany M. Figueiredo, Marcos T. O. Pimenta

In this work we prove the existence of ground state solutions for the following class of problems \begin{equation*} \left\{ \begin{array}{ll} \displaystyle - Δ_1 u + (1 + λV(x))\fr…