Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces

Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces

In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ space. Under the setting, we prove that the Korevaar-Schoen energy admits a unique minimizer.

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Sakurai, Yohei
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
Mathematics - Metric Geometry
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ space. Under the setting, we prove that the Korevaar-Schoen energy admits a unique minimizer.
DOI:10.48550/arxiv.2208.07150