Summary: We prove the existence of standing waves to the following family of nonlinear Schrödinger equations: \[ i\hbar\partial_t\psi= -\hbar^2\Delta\psi+ V(x)\psi- \psi|\psi|^{p-2},\quad (t,x)\in\mathbb{R}\times \mathbb{R}^n \] provided that \(h> 0\) is small, \(2< p< 2n/(n- 2)\) when \(n\geq 3\), \(2< p<\infty\) when \(n= 1,2\) and \(V(x)\in L^\infty(\mathbb{R}^n)\) is assumed to have a sublevel with positive and finite measure.