Convergence of the naturalp-means for thep-Laplacian

Juan J. Manfredi, Bianca Stroffolini · ESAIM Control Optimisation and Calculus of Variations · 2021

We prove uniform convergence in Lipschitz domains of approximations top-harmonic functions obtained using the naturalp-means introduced by Ishiwata, Magnanini, and Wadade [Calc. Var. Partial Differ. Equ.56(2017) 97]. We also consider convergence of natural means in the Heisenberg group in the case of smooth domains.

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