  An optimal control of a steady state thermistor problem is considered, where
the convective boundary coefficient is taken as the control variable. A
distinctive feature of this paper is that the problem is considered in
arbitrary dimensions, and the electrical conductivity is allowed to vanish
above a threshold temperature value. The existence of a steady state is proved,
an objective functional is introduced, the existence of the optimal control is
proved, and the optimality system is derived.
