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Special maps effected by harmonic functions

✍ Scribed by A. Janusauskas

Publisher
Springer
Year
1990
Tongue
English
Weight
359 KB
Volume
29
Category
Article
ISSN
0363-1672

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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