In this talk we present the main ingredients of the mean-field method
based on the Skyrme effective interactions that we have developed in t
he last years. In particular, we show how the correlations beyond the
mean-field approach are introduced. The range of applications of the m
ethod is illustrated by the studies of the superdeformed nuclei, the d
eformed nuclei up to the drip lines and of the influence of the giant
dipole resonance on the dipole transitions between the low lying level
s in the deformed nuclei.