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
Bucur, C. D., Squassina, M., Asymptotic mean value properties for fractional anisotropic operators, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2018; (1): 107-126. [doi:10.1016/j.jmaa.2018.05.063] [http://hdl.handle.net/10807/132119]
Asymptotic mean value properties for fractional anisotropic operators
Bucur, Claudia Dalia
Membro del Collaboration Group
;Squassina, Marco
Membro del Collaboration Group
2018
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
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