Abstract
Keywords p -Laplacian; Natural p -means; Dirichlet problem; Discrete approximations; Asymptotic mean value properties; Convergence; Generalized viscosity solutions; Heisenberg group 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 H which satisfy an intrinsic exterior corkscrew condition. These domains include Euclidean C.sup.1,1 domains. Author Affiliation: (a) Department of Mathematics and Statistics, California State University Sacramento, 6000 J Street, Sacramento, CA, 95819, USA (b) Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA (c) Department of Electrical Engineering and Information Technology, University Federico II Napoli, Napoli, 80125, Italy * Corresponding author. Article History: Received 30 November 2021; Accepted 24 June 2022 (miscellaneous) Communicated by Francesco Maggi (dedication) Dedicated to the memory of Emmanuele DiBenedetto Byline: András Domokos [domokos@csus.edu] (a), Juan J. Manfredi [manfredi@pitt.edu] (b,*), Diego Ricciotti [ricciotti@csus.edu] (a), Bianca Stroffolini [bstroffo@unina.it] (c)