Some Remarks on Harmonic Functions in Minkowski Spaces

We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function. Finally, we conclude that in a Minkowski space, if all harmonic functions hav...

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Bibliographic Details
Main Author: Songting Yin
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/2/196