We show that the competition between the correlation of liquid crystalline
order and the orienting effect of applied field is crucial in determining t
he characteristic behaviour of local ordering in the boundary layer, close
to the substrates with strong anchoring. The equilibrium states for the low
and the high field are found to be distinct. In particular, varying the fi
eld strength can induce a phase transition, across which the order paramete
r configuration changes continuously from one to the other of the two limit
ing equilibrium states.