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Interfaces and Free Boundaries
Article . 2011 . Peer-reviewed
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Interfaces and Free Boundaries
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https://dx.doi.org/10.4171/ifb...
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On the Hölder regularity of the landscape function

descriptionPublicationkeyboard_double_arrow_right Article 20 Jun 2011 Italy Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, volume 13, pages 191-222 (issn: 1463-9963, eissn: 1463-9971, Copyright policy )
Authors: Brancolini A; Solimini S;

doi: 10.4171/ifb/254

handle: 11589/7545

On the Hölder regularity of the landscape function

Abstract

We study the Hölder regularity of the landscape function introduced by Santambrogio in [S]. We develop a new technique which both extends Santambrogio’s result to lower Ahlfors regular measures in general dimension h and simplifies its proof.

Country
Italy
Related Organizations
Keywords

irrigation models, Regularity of solutions in optimal control, Variational problems in a geometric measure-theoretic setting, optimal transportation problems, Optimal transportation problems; irrigation models; landscape function, landscape function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
gold