Finsler infinity superharmonic functions

Benyam Mebrate

Abstract

We investigate a simple proof on properties of a non-negative Finsler infinity superharmonic function such as positivity, Harnack inequality, Liouville property and Lipschitz continuity using Finsler distance function. We also present Hopf boundary point lemma for a Finsler infinity subharmonic function.

How to Cite this Article

Benyam Mebrate, Finsler infinity superharmonic functions, J. Math. Comput. Sci., 11 (2021), 5045-5055. https://doi.org/10.28919/jmcs/5908

Copyright © 2021 Benyam Mebrate. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.