  The renormalization-group effects on the scenario with nearly degenerate mass
and bi-maximal mixing of neutrinos are analyzed. As a consequence, we
explicitly show in the SO(3) gauge model that the renormalization-group effects
could modify the fitting values of the relevant basic parameters of the model,
but leave the nearly bi-maximal mixing scenario to remain stable for
reconciling both solar and atmospheric neutrino data. The approximately
degenerate Majorana neutrino masses are allowed to be large enough to play a
significant cosmological role without conflicting with the current neutrinoless
double beta decay.
