  The specifics of charge screening and electrostatic potential spatial
distribution in multilayered graphene films placed in between charged
substrates is theoretically analyzed. It is shown that by varying the areal
charge densities on the substrates and/or the thickness of the graphene stack
one may tune the doped carriers distribution over the system. When the charge
densities on the substrates are weak, the carriers distribution and
electrostatic potential profile agree with semimetallic properties of graphene.
However, when the amount of the donated charge is sufficiently large the
transition to a metallic-like behavior of the graphene layers occurs. The
possibilities for experimental observation of the predicted transition are
discussed.
