The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry
Description
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
| Collections | ANU 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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| File | Description | Size | Format | Image |
|---|---|---|---|---|
| 01_Chou_The_Lp-Minkowski_problem_and_2006.pdf | 378.57 kB | Adobe PDF | Request a copy |
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