Finsler infinity superharmonic functions
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.
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.
Cite this article
B. Mebrate, Finsler infinity superharmonic functions, J. Math. Comput. Sci. 11 (2021), 5045–5055. https://doi.org/10.28919/jmcs/5908
BibTeX
@article{Mebrate2021,
author = {Mebrate, Benyam},
title = {Finsler infinity superharmonic functions},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5045--5055},
doi = {10.28919/jmcs/5908}
}