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math.AP2011★ 17 cited
Asymptotic statistical characterizations of p-harmonic functions of two variables
David Hartenstine, Matthew Rudd
Generalizing the well-known mean-value property of harmonic functions, we prove that a p-harmonic function of two variables satisfies, in a viscosity sense, two asymptotic formulas…
math.AP2011
Median values, 1-harmonic functions, and functions of least gradient
Matthew B. Rudd, Heather A. Van Dyke
Motivated by the mean value property of harmonic functions, we introduce the local and global median value properties for continuous functions of two variables. We show that the Di…