A flow approach to the Orlicz-Minkowski problem for torsional rigidity

2022/12/04 by Weimin Sheng, Ke Xue, Sheng, Weimin +1
Mathematics · #35K96 #52A39 #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2212.01824

openalex publication_date 2022/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the Orlicz-Minkowski problem for torsional rigidity, a generalization of the classical Minkowski problem, is studied. Using the flow method, we obtain a new existence result of solutions to this problem for general measures.

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