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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Bibliographic Details
Main Authors Domokos, András, Manfredi, Juan J, Ricciotti, Diego, Stroffolini, Bianca
Format Journal Article
LanguageEnglish
Published 25.06.2021
Subjects
Mathematics - Analysis of PDEs
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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.
DOI:10.48550/arxiv.2106.13647