The planar L_p-Minkowski problem for 0< p<1

2016/10/22 by Károly J. Böröczky, Boroczky, Karoly J., Hai T. Trinh +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #52A40 #Analysis of PDEs (math.AP) #Diffusion and Search Dynamics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1610.07067

openalex publication_date 2016/10/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient conditions for the existence of solutions to the asymmetric L_p Minkowski problem in ℝ² are established for 0 &lt; p &lt; 1.

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• Uniqueness of S₂-isotropic solutions to the isotropic L_p Minkowski problem

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