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

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 Added by Juan Manfredi
 Publication date 2021
  fields
and research's language is English




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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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