p-Harmonic functions on metric spaces

Date

2022-8

Type

Article

Journal title

المجلة الليبية للعلوم LJS

Issue

Vol. 0 No. 25

Author(s)

Zohra Farnana

Pages

12 - 17

Abstract

The main object of this paper is to present the p-harmonic functions in metric spaces and compare them with the harmonic functions in the Euclidean spaces. We obtain many useful properties for the p- harmonic in metric spaces and. In particular the p-harmonic functions in metric spaces satisfy the strong maximum principle, the Harnack's inequality and are locally Holdercontinuous.