This paper is devoted to the study of the Young equation, which gives a connec-
tion between surface tensions and contact angle. We derive the generalized form
of this equation for anisotropic models using thermodynamic considerations. In
two dimensions with SOS-like approximations of the interface, we prove that
the surface tension may be computed explicitly as a simple integral, which of
course depends upon the orientation of the interface. This allows a complete
study of the wetting transition when a constant wall "attraction" is taken into
account within the SOS and Gaussian models. We therefore give a complete
analysis of the variation of the contact angle with the temperature for those
models. It is found that for certain values of the parameters, two wetting
transitions may successively appear, one at tow temperature and one at high
temperature, giving the following states: film~troplet film. This study rests upon
the generalized Young equation, the validity of which is proved for the Gaussian
model with a constant wall attraction, using microscopic considerations.