The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry
Date
2006
Authors
Chou, Kai-Seng
Wang, Xu-Jia
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Volume Title
Publisher
Academic Press
Abstract
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
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Keywords
Keywords: Blaschke-Santalo inequality; Centroaffine Minkowski problem; Lp-Minkowski problem; Monge-Ampre equation
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Source
Advances in Mathematics
Type
Journal article
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2037-12-31
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