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

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

András Domokos, Juan J Manfredi, Diego Ricciotti and Bianca Stroffolini
06/25/2021

Abstract

Mathematics - Analysis of PDEs
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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