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- W2963558762 abstract "Given a convex set and an interior point close to the boundary, we prove the existence of a supporting hyperplane whose distance to the point is controlled, in a dimensionally quantied way, by the thickness of the convex set in the orthogonal direction. This result has important applications in the regularity theory for Monge-Amp ere type equations arising in optimal transportation." @default.
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- W2963558762 date "2013-01-01" @default.
- W2963558762 modified "2023-10-16" @default.
- W2963558762 title "On supporting hyperplanes to convex bodies" @default.
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- W2963558762 doi "https://doi.org/10.4310/maa.2013.v20.n3.a3" @default.
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