Abstract:In this work, we show the existence of a capacity solution for a nonlinear coupled parabolic-elliptic system in inhomogeneous anisotropic Orlicz-Sobolev spaces without assuming the ∆2–condition on the Nfunctions. This system describes the heat surge generated within a semiconductor device by an electrical direct current. This may be seen as a generalization of the so-called thermistor problem.
Mathematics Subject Classification (2010). Primary: 35K61; Secondary: 47H05.
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