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Harmonic functions with polynomial growth on lattice points

✍ Scribed by D.H Armitage

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
333 KB
Volume
26
Category
Article
ISSN
0021-9045

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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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