On nonlinear Schrödinger equations with attractive inverse-power potentials

We study the Cauchy problem for nonlinear Schrodinger equations with attractive inverse-power potentials. By using variational arguments, we first determine a sharp threshold of global well-posedness and blow-up equation in mass-supercritical case. next existence orbital stability standing waves mass-subcritical mass-critical cases. In case, give detailed description behavior when mass tends to critical value.