The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities (Q2351984)
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| Language | Label | Description | Also known as |
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| English | The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities |
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The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities (English)
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29 June 2015
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The authors consider the Dirichlet problem for \(p\)-harmonic functions with Mazurkiewicz boundary in metric spaces. To this end, the authors develop the Perron method and introduce a new capacity. The results obtained in this paper improve the known results for functions on the standard boundary. Moreover, several interesting examples are shown to illustrate the results.
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\(p\)-harmonic functions on metric spaces
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Dirichlet problem
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Mazurkiewicz boundary
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