Chou, Kai-SengWang, Xu-Jia2015-12-080001-8708http://hdl.handle.net/1885/28586The 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 = - nKeywords: Blaschke-Santalo inequality; Centroaffine Minkowski problem; Lp-Minkowski problem; Monge-Ampre equation200610.1016/j.aim.2005.07.0042015-12-08