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arXiv · 2106.13647

Convergence of Natural $p$-Means for the $p$-Laplacian in the Heisenberg Group

András Domokos·Juan J. Manfredi·Diego Ricciotti·Bianca Stroffolini
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Abstract

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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András Domokos, Juan J. Manfredi, Diego Ricciotti, Bianca Stroffolini. 2021-06-25. Convergence of Natural $p$-Means for the $p$-Laplacian in the Heisenberg Group. https://arxiv.org/abs/2106.13647

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