JournalszaaVol. 22, No. 1pp. 129–146

Harnack Inequality for a Class of Degenerate Elliptic Operators

  • Jose D. Fernandes

    Universidade de São Paulo, Brazil
  • Severino T. Melo

    Universidade de São Paulo, Brazil
  • Jorge Groisman

    Universidad de la Republica, Montevideo, Uruguay
Harnack Inequality for a Class of Degenerate Elliptic Operators cover
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Abstract

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.

Cite this article

Jose D. Fernandes, Severino T. Melo, Jorge Groisman, Harnack Inequality for a Class of Degenerate Elliptic Operators. Z. Anal. Anwend. 22 (2003), no. 1, pp. 129–146

DOI 10.4171/ZAA/1135