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-harmonic functions by way of intrinsic mean value properties
Ángel Arroyo, José G. Llorente
Let be a bounded domain satisfying the uniform exterior cone condition. We establish existence and uniqueness of continuous solutions of the Dirichlet Proble…
Asymptotic Hölder Regularity for the Ellipsoid Process
Ángel Arroyo, Mikko Parviainen
We obtain an asymptotic Hölder estimate for functions satisfying a dynamic programming principle arising from a so-called ellipsoid process. By the ellipsoid process we mean a gene…
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities
Ángel Arroyo, Hannes Luiro, Mikko Parviainen +1
We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in . The method of the proof is based on…
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…