A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d β 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
On the accuracy of the potential harmonic functions
β Scribed by Wang; Yi-Xuan; Li; Lin-Wei; Bian; Wen-Sheng; Liu; Cheng-Bu; Deng; Cong-Hao
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 495 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0256-7660
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