Asymptotic mean value properties for fractional anisotropic operators
arXiv:1801.00976
Abstract
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.
16 pages, typo corrections and improvements