  The recent $F_2$ data can be described using the DGLAP evolution equations
with an appropriate choice of input distributions and the choice of the
starting scale for the $Q^2$ evolution. We demonstrate in this paper that we
cannot conclude that there are no significant shadowing corrections at HERA
kinematic region using $F_2$ data only. In this paper we calculate the
shadowing corrections to the longitudinal structure function $F_L(x,Q^2)$ and
to the charm component of the proton structure function $F_2^c(x,Q^2)$ at HERA
kinematic region using an eikonal approach. We demonstrate that the shadowing
corrections to these observables are very large and that the charm production
is strongly modified at small-$x$. Our results agree with the recent few H1
data.
