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- W2018074635 abstract "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 involving its local statistics. Moreover, we show that these asymptotic formulas characterize p-harmonic functions when 1 < p < infty. An example demonstrates that, in general, these formulas do not hold in a non-asymptotic sense." @default.
- W2018074635 created "2016-06-24" @default.
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- W2018074635 date "2011-04-01" @default.
- W2018074635 modified "2023-10-18" @default.
- W2018074635 title "Asymptotic statistical characterizations of $p$-harmonic functions of two variables" @default.
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- W2018074635 doi "https://doi.org/10.1216/rmj-2011-41-2-493" @default.
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