Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2003-03-31
Harnack Inequality for a Class of Degenerate Elliptic OperatorsJose D. Fernandes, Jorge Groisman and Severino T. Melo (1) Universidade de São Paulo, Brazil
(2) Universidade de São Paulo, Brazil
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.
Keywords: Harnack-type inequality, degenerate elliptic equations
Fernandes Jose, Groisman Jorge, Melo Severino: Harnack Inequality for a Class of Degenerate Elliptic Operators. Z. Anal. Anwend. 22 (2003), 129-146. doi: 10.4171/ZAA/1135