Convergence of Natural $p$-Means for the $p$-Laplacian in the Heisenberg Group
In this paper we prove uniform convergence of approximations to $p$-harmonic functions by using natural $p$-mean operators on bounded domains of the Heisenberg group $\mathbb{H}$ which satisfy an intrinsic exterior corkscrew condition. These domains include Euclidean $C^{1,1}$ domains.
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
25.06.2021
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper we prove uniform convergence of approximations to $p$-harmonic
functions by using natural $p$-mean operators on bounded domains of the
Heisenberg group $\mathbb{H}$ which satisfy an intrinsic exterior corkscrew
condition. These domains include Euclidean $C^{1,1}$ domains. |
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DOI: | 10.48550/arxiv.2106.13647 |