Geodesic
Harnack Inequalities on Recurrent Metric Fractals
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 503-508

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TRSPY_2002_236_a49,
     author = {U. Mosco},
     title = {Harnack {Inequalities} on {Recurrent} {Metric} {Fractals}},
     journal = {Informatics and Automation},
     pages = {503--508},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a49/}
}
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U. Mosco. Harnack Inequalities on Recurrent Metric Fractals. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 503-508. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a49/