Harnack Inequality for a Class of Degenerate Elliptic Operators | Zendy

José Fernandes | Zendy; Jorge Groisman | Zendy; Severino T. Melo | Zendy

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Harnack Inequality for a Class of Degenerate Elliptic Operators

Author(s) -

José Fernandes,

Jorge Groisman,

Severino T. Melo

Publication year - 2003

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1135

Subject(s) - harnack's inequality , degenerate energy levels , harnack's principle , class (philosophy) , inequality , mathematics , pure mathematics , elliptic operator , mathematical analysis , physics , computer science , artificial intelligence , quantum mechanics

We prove a Harnack inequality for a class of two-weight degenerate ellipticoperators. The metric distance is induced by continuous Grushin-type vectorfields. 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 useof rectangles in the Moser iteration.

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