JournalszaaVol. 22 , No. 1DOI 10.4171/zaa/1135

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

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.