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Published in 2021 at "Fractals"
DOI: 10.1142/s0218348x21500961
Abstract: We investigate the [Formula: see text]-level Sierpinski carpets including the classical one for [Formula: see text], which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the self-similar measure, we obtain the…
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Keywords:
mean geodesic;
geodesic distance;
level;
formula see ... See more keywords
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Published in 2017 at "Boundary Value Problems"
DOI: 10.1186/s13661-017-0781-1
Abstract: We study the boundary value problems for the Laplacian on a sequence of domains constructed by cutting level-n Sierpinski gaskets properly. Under proper assumptions on these domains, we manage to give an explicit Poisson integral…
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Keywords:
problems part;
boundary value;
value problems;
level sierpinski ... See more keywords