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Local regularity theorems for the stationary thermistor problem. (English) Zbl 1081.35038
Summary: We present a simpler proof of a result of Lewis concerning the continuity of weak solutions to the two-dimensional thermistor problem in the case where the temperature can blow up in a region with nonempty interior. Some other regularity properties are also discussed.

MSC:
35J60 Nonlinear elliptic equations
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