The Lp Minkowski problem for polytopes for negative p

2016/02/25 by Guangxian Zhu, Zhu, Guangxian
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry

paper · pdf · doi:10.48550/arxiv.1602.07774

Abstract

Existence of solutions to the Lp Minkowski problem is proved for all p less than 0. For the cirtical case of p=-n, which is known as the centro-affine Minkowski problem, this paper contains the main result in [71] as a special case.

Related

• The Lp Minkowski problem for polytopes for 0 < p < 1
• The Lp chord Minkowski problem for negative p
• The planar L_p-Minkowski problem for 0< p<1
• The Logarithmic Minkowski conjecture and the L_p-Minkowski Problem
• Nonuniqueness of solutions to the L_p chord Minkowski problem