  We analyze the general nonlinear evolution equations for multi gluon
correlators derived in hep-ph/9709432 by restricting ourselves to a double
logarithmic region. In this region our evolution equation becomes local in
transverse momentum space and amenable to simple analysis. It provides a
complete nonlinear generalization of the GLR equation. We find that the full
double log evolution at high density becomes strikingly different from its
linear doubly logarithmic DGLAP counterpart. An effective mass is induced by
the nonlinear corrections which at high densities slows down the evolution
considerably. We show that at small values of impact parameter the gluonic
density grows as a logarithm of energy. At higher values of impact parameter
the growth is faster, since the density of gluons is lower and nonlinearities
are less important.
