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arxiv: math/0204186 · v2 · submitted 2002-04-15 · 🧮 math.AP · math.FA

Harnack inequality for a class of degenerate elliptic operators

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keywords classdegenerateellipticharnackinequalitymetricoperatorsallows
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We prove a Harnack inequality for a class of two-weight degenerate elliptic operators. The metric distance is induced by continuous Grushin-type vector fields. It is not know whether there exist cutoffs fitting the metric balls. This obstacle is bypassed by means of a covering argument that allows the use of rectangles in the Moser iteration.

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