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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