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A two-dimensional stationary induction heating problem. (English) Zbl 0870.35034
Summary: We consider a system of equations modelling a steady-state induction heating process for ‘two-dimensional geometries’. Existence of a solution is stated in the Sobolev spaces \(W^{1,p}(\Omega)\) and is derived using Leray-Schauder’s fixed point theory.

MSC:
35J60 Nonlinear elliptic equations
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