Harnack inequality for a class of degenerate elliptic operators

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

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Analysis of PDEs, Functional Analysis, 35J70

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http://salesiana.dossiersoluciones.com/handle/123456789/63818

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204186
 http://arxiv.org/abs/math/0204186

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arXiv