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The Harmonicity of the Spherical Gauss Map

✍ Scribed by Rigoli, M.


Book ID
120092330
Publisher
Oxford University Press
Year
1986
Tongue
English
Weight
85 KB
Volume
18
Category
Article
ISSN
0024-6093

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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