Geodesic
Harnack Inequalities on Recurrent Metric Fractals
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 503-508

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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. 
@article{TM_2002_236_a49,
     author = {U. Mosco},
     title = {Harnack {Inequalities} on {Recurrent} {Metric} {Fractals}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {503--508},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a49/}
}
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U. Mosco. Harnack Inequalities on Recurrent Metric Fractals. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 503-508. http://geodesic.mathdoc.fr/item/TM_2002_236_a49/