  Large rapidity gap diffraction processes are considered in multi-channel
eikonal models. It is shown that shadow corrections to over-fast rising
contribution of the input supercritical pomeron (with $\alpha(0)>1$),
originating from the pomeron rescatterings or, equivalently, accounting
survival probability factor, do not solve the Finkelstein-Kajantie problem.
Therefore, in our opinion, another methods of unitarization of supercritical
pomeron should be developed.
