p-harmonic functions in metric spaces

الملخص

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 functions in metric spaces.

In particular the p-harmonic functions in metric spaces satisfy the strong

maximum principle, the Harnack's inequality and are locally Hölder continuous.