2021 Summer Analysis on Metric Spaces Seminar

Professor Juan J. Manfredi, University of Pittsburgh

Title: Natural $p$-means for the $p$-Laplacian in Euclidean space and the Heisenberg Group

Abstract:
We prove uniform convergence in Lipschitz domains in ${R}^n$ (and in $C^{1,1}$ domains in the Heisenberg group) of approximations to $p$-harmonic functions obtained using the natural $p$-means introduced by Ishiwata, Magnanini, and Wadade in 2017.

This talk is based in joint work with András Domokos and Diego Ricciotti (Sacramento) and Bianca Stroffolini (Naples)

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