  We study the properties of a dilute Bose condensed gas at zero temperature in
the presence of a strong random potential with arbitrary correlation length.
Starting from the underlying Gross-Pitaevskii equation, we use the random phase
approximation in order to get a closed integral equation for the averaged
density distribution which allows to determine both the condensate and the
superfluid density. The obtained results generalize those of Huang and Meng
(HM) to strong disorder. In particular, we find the critical value of the
disorder strength, where the superfluid phase disappears by a first-order phase
transition. We show how this critical value changes as a function of the
correlation length.
