Existence and concentration phenomena for a class of indefinite variational problems with critical growth

In this paper we are interested to prove the existence and concentration of ground state solution for the following class of problems $$ -\Delta u+V(x)u=A(\epsilon x)f(u), \quad x \in \R^{N}, \eqno{(P)_{\epsilon}} $$ where \(N \geq 2\), \(\epsilon>0\), \(A:\R^{N}\rightarrow\R\) is a continuous function that satisfies $$ 0