## Resume. We prove that local minimizers u: R" -+ R N of the functional JIDu(xw(rldr are of class C' :.. for some 0 > 0, provided p(x) > 1 is Holder continuous. Β© Acadcmie des Sciences/Elsevier. Paris Continuite holtlerielllle du gradient ties nJ)J1licntiollS p(z )-hamwniques On demontre La regu
β¦ LIBER β¦
On the continuity of harmonic mappings and the boundary
β Scribed by George Paulik
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 151 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0025-2611
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## Abstract A quantitative version of an inequality obtained in [8, Theorem 2.1] is given. More precisely, for normalized __K__ quasiconformal (q.c.) harmonic mappings of the unit disk onto a Jordan domain Ξ© β __C__^1, ΞΌ^ (0 < ΞΌ β€ 1), we give an explicit Lipschitz constant depending on the structur