English

Regularity of quasi-n-harmonic mappings into NPC spaces

Analysis of PDEs 2024-10-15 v2 Differential Geometry Metric Geometry

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.

Keywords

Cite

@article{arxiv.1709.04316,
  title  = {Regularity of quasi-n-harmonic mappings into NPC spaces},
  author = {Chang-Yu Guo and Chang-Lin Xiang},
  journal= {arXiv preprint arXiv:1709.04316},
  year   = {2024}
}

Comments

Some minor changes based on the referee report, 14 pages