This article is cited in 7 papers

Harnack Inequalities on Recurrent Metric Fractals

U. Mosco

University of Rome "La Sapienza"

Abstract: We introduce the notion of metric fractal and prove Harnack inequalities for metric fractals whose dimension is less than 2. The result applies, in particular, to finitely ramified fractals like the Sierpinski curves.

UDC: 517.9

Received in November 2000

Language: English

 English version: Proceedings of the Steklov Institute of Mathematics, 2002, 236, 490–495

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