𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the regularity for stationary harmonic maps

✍ Scribed by Liang De Hsu; Jia Yu Li


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
485 KB
Volume
24
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Regularity of Harmonic Functions
✍ Lawrence E. Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d βŠ‚ R d with spacing Ξ΄ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-HΓΆlder continuous, Ξ΄ β†’ 0. These results are then applied to establish regularity