Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces
Differential Geometry
2023-09-01 v2 Metric Geometry
Abstract
In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in space. Under the setting, we prove that the Korevaar-Schoen energy admits a unique minimizer.
Cite
@article{arxiv.2208.07150,
title = {Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces},
author = {Yohei Sakurai},
journal= {arXiv preprint arXiv:2208.07150},
year = {2023}
}
Comments
16 pages