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Enclosed convex hypersurfaces with maximal affine area

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Authors

Sheng, Weimin
Trudinger, Neil
Wang, Xu-Jia

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Springer

Abstract

In this paper we study the regularity of closed, convex surfaces which achieve maximal affine area among all the closed, convex surfaces enclosed in a given domain in the Euclidean 3-space. We prove the C1,α regularity for general domains and C1,1 regula

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Mathematische Zeitschrift

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Restricted until

2037-12-31