  We consider smooth radial solutions to the Hamiltonian stationary equation
which are defined away from the origin. We show that in dimension two all
radial solutions on unbounded domains must be special Lagrangian. In contrast,
for all higher dimensions there exist non-special Lagrangian radial solutions
over unbounded domains; moreover, near the origin, the gradient graph of such a
solution is continuous if and only if the graph is special Lagrangian.
