J. Llorente

activity

20132017

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

collaborators

3 papers

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…

math.CA2013

Oscillation of Hölder Continuous Functions

José González Llorente, Artur Nicolau

Local oscillation of a function satisfying a Hölder condition is considered and it is proved that its growth is governed by a version of the Law of the Iterated Logarithm.

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

Oscillation of Hölder Continuous Functions

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