Nematic liquid-crystal wetting at a solid interface presents particula
rly interesting features when the nematic director orientation at the
solid interface is antagonistic to that favoured by the emerging nemat
ic-isotropic interface. We have used the Landau-de Gennes theory of an
inhomogeneous liquid crystal to make a quantitative study of this phe
nomenon, for the case when the solid surface favours homeotropic ancho
ring but the nematic-isotropic surface favours planar anchoring. By ge
neralizing the theory of Sheng to allow spatial variation of the direc
tor, we find a richer surface phase diagram exhibiting a prewetting li
ne or boundary transition shifted from that discussed by Sheng, as wel
l as a transition between two nematic wetting phases, at which the wet
ting layer director profile changes from a homeotropic to a distorted
texture.