  We establish the existence of axially symmetric weak solutions to steady
incompressible magnetohydrodynamics with non-homogeneous boundary conditions.
The key issue is the Bernoulli's law for the total head pressure $\Phi=\f
12(|{\bf u}|^2+|{\bf h}|^2)+p$ to a special class of solutions to the inviscid,
non-resistive MHD system, where the magnetic field only contains the swirl
component.
