Calculus of Variations and Geometric Measure Theory
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C. Bucur - M. Squassina

Asymptotic mean value properties for fractional anisotropic operators

created by squassina on 31 Dec 2017
modified on 03 Jan 2018



Inserted: 31 dec 2017
Last Updated: 3 jan 2018

Year: 2017


We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms.

Keywords: Mean value formulas, anisotropic fractional operators


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