  In this paper we re-analyse the situation with the shadowing corrections (SC)
in QCD for the proton deep inelastic structure functions. We reconsider the
Glauber - Mueller approach for the SC in deep inelastic scattering (DIS) and
suggest a new nonlinear evolution equation. We argue that this equation solves
the problem of the SC in the wide kinematic region where $\as \kappa = \as
\frac{3 \pi \as}{2 Q^2R^2} x G(x,Q^2) \leq 1$. Using the new equation we
estimate the value of the SC which turn out to be essential in the gluon deep
inelastic structure function but rather small in $F_2(x,Q^2)$. We claim that
the SC in $xG(x,Q^2)$ is so large that the BFKL Pomeron is hidden under the SC
and cannot be seen even in such "hard" processes that have been proposed to
test it. We found that the gluon density is proportional to $\ln(1/x)$ in the
region of very small $x$. This result means that the gluon density does not
reach saturation in the region of applicability of the new evolution equation.
It should be confronted with the solution of the GLR equation which leads to
saturation.
