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On foliations defined by harmonic functions

✍ Scribed by E. V. Zhuzhoma; V. S. Medvedev

Book ID
110149369
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
495 KB
Volume
84
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

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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

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