Harnack inequality for a class of degenerate elliptic operators

Details Harnack inequality for a class of degenerate elliptic operators Harnack inequality for a class of degenerate elliptic operators

2002-04-15

arxiv.org/abs/math/0204186v2

Mathematics

Analysis of PDEs

Final version, to appear in Zeitschrift fuer Analysis und ihre Anwendungen

Scientific paper

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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