Hölder continuity conditions for the sol
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F.A Lops; F Maddalena; S Solimini
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Article
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2001
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Elsevier Science
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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 =