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The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry

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Chou, Kai-Seng; Wang, Xu-Jia

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The Lp-Minkowski problem introduced by Lutwak is solved for p ≥ n + 1 in the smooth category. The relevant Monge-Ampère equation (0.1) is solved for all p > 1. The same equation for p < 1 is also studied and solved for p ∈ (- n - 1, 1). When p = - n

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/28586
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2005.07.004

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