On singular sets of \(c\)-concave functions (Q1649375)
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scientific article; zbMATH DE number 6898952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On singular sets of \(c\)-concave functions |
scientific article; zbMATH DE number 6898952 |
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On singular sets of \(c\)-concave functions (English)
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5 July 2018
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The authors prove that, under a general condition on a cost function \(c\) in \({\mathbb R}^n\), the Hausdorff dimension of the singular set of a \(c\)-concave function has dimension at most \(n-1\). Their result applies to optimal mass transportation.
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singular set
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\(c\)-concave function
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