Median values, 1-harmonic functions, and functions of least gradient

DOI10.3934/cpaa.2013.12.711zbMath1271.31012arXiv1108.1370OpenAlexW1989022495MaRDI QIDQ1951395

Matthew Rudd, Heather A. Van Dyke

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1370

zbMATH Keywords

Dirichlet problemmean value property1-harmonic functionmedian value property

Mathematics Subject Classification ID

Generalizations of potential theory (31C99)

Related Items (6)

A natural approach to the asymptotic mean value property for the \(p\)-Laplacian ⋮ Nonlocal averages in space and time given by medians and the mean curvature flow ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ Estimates for nonlinear harmonic measures on trees ⋮ Dirichlet-to-Neumann maps on trees ⋮ General existence of solutions to dynamic programming equations

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