| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4668154 | Advances in Mathematics | 2006 | 51 Pages |
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-1 the equation is interpreted as a Minkowski problem in centroaffine geometry. A Kazdan–Warner-type obstruction for this problem is obtained.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
