  We present a theory for disordered interacting electrons that can describe
both the Mott and the Anderson transition in the respective limits of zero
disorder and zero interaction. We use it to investigate the T=0 Mott-Anderson
transition at a fixed electron density, as a the disorder strength is
increased. Surprisingly, we find two critical values of disorder W_{nfl} and
W_c. For W > W_{nfl}, the system enters a ``Griffiths'' phase, displaying
metallic non-Fermi liquid behavior. At even stronger disorder, W=W_c > W_{nfl}
the system undergoes a metal insulator transition, characterized by the linear
vanishing of both the typical density of states and the typical quasiparticle
weight.
