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Divergence form operators in Reifenberg flat domains

✍ Scribed by Emmanouil Milakis; Tatiana Toro


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
321 KB
Volume
264
Category
Article
ISSN
0025-5874

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Divergence Form Operators on Fractal-lik
✍ Martin T. Barlow; Richard F. Bass πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 254 KB

We consider elliptic operators L in divergence form on certain domains in R d with fractal volume growth. The domains we look at are pre-Sierpinski carpets, which are derived from higher dimensional Sierpinski carpets. We prove a Harnack inequality for non-negative L-harmonic functions on these doma