On the Hölder regularity of the landscape function (Q633938)

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scientific article; zbMATH DE number 5934883
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On the Hölder regularity of the landscape function
scientific article; zbMATH DE number 5934883

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    On the Hölder regularity of the landscape function (English)
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    2 August 2011
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    Summary: We study the Hölder regularity of the landscape function introduced by \textit{F. Santambrogio} in [Interfaces Free Bound. 9, No.~1, 149--169 (2007; Zbl 1138.90339)]. We develop a new technique which both extends Santambrogio's result to lower Ahlfors regular measures in general dimension \(h\) and simplify its proof.
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    optimal transportation problems
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    irrigation models
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    landscape function
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