Journal of Statistical Physics, Vol. 54, Nos. 3/4, 1989. p. 567-579.
We study the anisotropic Ising model on a square lattice with free boundary conditions. A simple explicit result is obtained for the surface magnetization of a system which is inhomogeneous near the surface. The corner magnetization is investigated for a 90 degree corner in a homogeneous anisotropic system. From the numerical results an analytical formula is found.