J. Llorente

activity

20132020

most citedOn the asymptotic mean value property for planar p-harmonic functions

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2020

$p$ -harmonic functions by way of intrinsic mean value properties

Ángel Arroyo, José G. Llorente

Let $Ω \subset R^{n}$ be a bounded domain satisfying the uniform exterior cone condition. We establish existence and uniqueness of continuous solutions of the Dirichlet Proble…

math.AP2018

On $p$ -Harmonic Measures in Half Spaces

J. G. Llorente, J. J. Manfredi, W. C. Troy +1

For all $1 < p < \infty$ and $N \geq 2$ we prove that there is a constant $α (p, N) > 0$ such that the $p$ -harmonic measure in $R_{+}^{N}$ of a ball of radius $0 < δ \leq 1$ in $R^{N - 1}$ is bou…

math.AP2017

A priori Hölder and Lipschitz regularity for generalized $p$ -harmonious functions in metric measure spaces

Ángel Arroyo, José G. Llorente

Let $(X, d, μ)$ be a proper metric measure space and let $Ω \subset X$ be a bounded domain. For each $x \in Ω$ , we choose a radius $0< \varrho (x) \leq \mathrm{dis…

math.AP2015★ 1 cited

On the asymptotic mean value property for planar p-harmonic functions

Angel Arroyo, José G. Llorente

We show that p-harmonic functions in the plane satisfy a nonlinear asymptotic mean value property for p>1. This extends previous results of Manfredi and Lindqvist for certain range…

p-harmonic functions by way of intrinsic mean value properties

On p-Harmonic Measures in Half Spaces

A priori Hölder and Lipschitz regularity for generalized p-harmonious functions in metric measure spaces

On the asymptotic mean value property for planar p-harmonic functions

$p$ -harmonic functions by way of intrinsic mean value properties

On $p$ -Harmonic Measures in Half Spaces

A priori Hölder and Lipschitz regularity for generalized $p$ -harmonious functions in metric measure spaces