On the Hölder regularity of the landscape function
type: Item
instance of: scholarly article
title: On the Hölder regularity of the landscape function
zbMATH Open document ID: 1220.49022
DOI: 10.4171/IFB/254
author: Alessio Brancolini
author: Sergio Solimini
published in: Interfaces and Free Boundaries
publication date: 2011-08-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 5934883
zbMATH Keywords: optimal transportation problems
zbMATH Keywords: irrigation models
zbMATH Keywords: landscape function
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/ifb/254
OpenAlex ID: W2083239469
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description: scientific article; zbMATH DE number 5934883