We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtained using the natural p-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.
Convergence of the natural p-means for the p-Laplacian / Manfredi, Juan; Stroffolini, Bianca. - In: ESAIM. COCV. - ISSN 1292-8119. - 27:1(2021), pp. 1-18. [10.1051/cocv/2021026]
Convergence of the natural p-means for the p-Laplacian
Bianca Stroffolini
2021
Abstract
We prove uniform convergence in Lipschitz domains of approximations to p-harmonic functions obtained using the natural p-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.File in questo prodotto:
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