A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d δ = δZ d ⊂ R d with spacing δ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-Hölder continuous, δ → 0. These results are then applied to establish regularity
✦ LIBER ✦
On the regularity of subelliptic -harmonic functions in Carnot groups
✍ Scribed by András Domokos
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 307 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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