Boundary value problems on part of a level-n Sierpinski gasket
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 formula to obtain a series of solutions subject to the bounda...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0781-1 |