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Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis

✍ Scribed by Ku, Min; Kähler, Uwe; Wang, Daoshun


Book ID
120185732
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
210 KB
Volume
58
Category
Article
ISSN
1747-6933

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Hölder continuity conditions for the sol
✍ F.A Lops; F Maddalena; S Solimini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 272 KB

The paper deals with the problem of minimizing a free discontinuity functional under Dirichlet boundary conditions. An existence result was known so far for C 1 (∂ ) boundary data û. We show here that the same result holds for û ∈ C 0,µ (∂ ) if µ > 1 2 and it cannot be extended to cover the case µ =