We consider in this paper a system of equations modelling a steady-sta
te induction heating process for 'two-dimensional geometries'. Existen
ce of a solution is stated in W-1,W-p (Omega) Sobolev spaces and is de
rived using the Leray-Schauder's fixed point theory. (C) 1997 by B. G.
Teubner Stuttgart-John Wiley & Sons Ltd.