A Two-dimensional Stationary Induction Heating Problem

We consider in this paper a system of equations modelling a steady-state induction heating process for ‘two-dimensional geometries’. Existence of a solution is stated in W^1,p(Ω) Sobolev spaces and is derived using the Leray–Schauder's fixed point theory. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.