Some remarks on uniqueness and regularity of Cheeger sets (Q991587)

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scientific article; zbMATH DE number 5780250
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Some remarks on uniqueness and regularity of Cheeger sets
scientific article; zbMATH DE number 5780250

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    Some remarks on uniqueness and regularity of Cheeger sets (English)
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    7 September 2010
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    Summary: We show that generically the subsets of RN with finite volume have a unique Cheeger set, in the sense that there always exists a nearby set which has a unique Cheeger set. We also prove that Cheeger sets are \(C^{1,1}\), when the ambient set is \(C^{1,1}\).
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    maximal and minimal Cheeger sets
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    regularity of Cheeger sets
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    Cheeger set
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