  In this paper, we study existence, multiplicity and concentration of positive
solutions for the following class of quasilinear problems \[ - \Delta_{\Phi}u +
V(\epsilon x)\phi(\vert u\vert)u = f(u)\quad \mbox{in} \quad \mathbb{R}^{N}
\,\,\, ( N\geq 2 ), \] where $\Phi(t) = \int_{0}^{\vert t\vert}\phi(s)sds$ is a
N-function, $ \Delta_{\Phi}$ is the $\Phi$-Laplacian operator, $\epsilon$ is a
positive parameter, $V : \mathbb{R}^{N} \rightarrow \mathbb{R} $ is a
continuous function and $f : \mathbb{R} \rightarrow \mathbb{R} $ is a
$C^{1}$-function.
