Minimal laminations and level sets of 1-harmonic functions
We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations. We then apply this theory to prove that a function has locally least gradient (is $1$-harmonic) iff its level sets are a minimal lamination; t...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We collect several results concerning regularity of minimal laminations, and
governing the various modes of convergence for sequences of minimal
laminations. We then apply this theory to prove that a function has locally
least gradient (is $1$-harmonic) iff its level sets are a minimal lamination;
this resolves an open problem of Daskalopoulos and Uhlenbeck. |
|---|---|
| DOI: | 10.48550/arxiv.2311.01541 |