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A Wiener-type condition for Hölder continuity for Green's functions

✍ Scribed by Ferenc Toókos

Book ID
106343374
Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
278 KB
Volume
111
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

Hölder continuity conditions for the sol
Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities
✍ 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 =