The Lp Minkowski problem for polytopes for 0 < p < 1

2014/06/29 by Guangxian Zhu, Zhu, Guangxian · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #52A40 #Diffusion and Search Dynamics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.MG #msc:52A40

paper · pdf · doi:10.48550/arxiv.1406.7503

19 pages

openalex publication_date 2014/06/29 · arxiv created 2014/08/02 · arxiv updated 2014/08/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient conditions are given for the existence of solutions to the discrete Lp Minkowski problem for the critical case where 0 < p < 1.

Cited by

• The cone volume measure of antipodal points
• The discrete logarithmic Minkowski problem

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