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Enclosed convex hypersurfaces with maximal affine area

Sheng, Weimin; Trudinger, Neil; Wang, Xu-Jia


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

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: Mathematische Zeitschrift
DOI: 10.1007/s00209-005-0862-1


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