Regularity of quasi-n-harmonic mappings into NPC spaces

TL;DR

This paper establishes local and global Hölder continuity for quasi-n-harmonic mappings from Euclidean domains into NPC spaces, advancing understanding of their regularity properties.

Contribution

It proves the Hölder continuity of quasi-n-harmonic mappings into NPC spaces, extending regularity results to a broader class of metric space targets.

Findings

Local Hölder continuity of quasi-n-harmonic mappings

Global Hölder continuity on bounded Lipschitz domains

Extension of regularity theory to NPC space targets

Abstract

We prove local Holder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain global Holder continuity of such mappings from bounded Lipschitz domains.