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Dirichlet problem for holomorphic functions in generalized Hölder spaces

✍ Scribed by V. V. Napalkov; A. Yu. Timofeev


Book ID
111455113
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
189 KB
Volume
81
Category
Article
ISSN
1064-5624

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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 =