The L_p Gaussian Minkowski problem for C-pseudo-cones

2025/03/02 by Junjie Shan, Shan, Junjie, Wenchuan Hu +1 · 3 citations
Computer Science · Mathematics · #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Approximation and Integration #Metric Geometry (math.MG) #Point processes and geometric inequalities #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2503.00970

openalex publication_date 2025/03/02 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

Abstract

The L_p Gaussian Minkowski problem for C-pseudo-cones is studied in this paper, and the existence and uniqueness results are established. This extends our previous work on the Minkowski problem for C-pseudo-cones with respect to the Gaussian surface area measure (p=1) and the Gaussian cone measure (p=0).

Cited by

• The p-th dual Minkowski problem for the k-torsional rigidity corresponding to a k-Hessian equation
• The L_p Dual Minkowski Problem for Group-Invariant Convex Bodies
• Compactness of the L_p dual Minkowski problem in ℝ³

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