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October 13, 2025Open Access

The L₏ Gaussian Minkowski problem for C-pseudo-cones

Key Points

Existence and uniqueness results are established for the $L_{p}$ Gaussian Minkowski problem.
The analysis extends previous findings for $C$-pseudo-cones related to Gaussian measures.
Research demonstrates effectiveness in addressing the Gaussian surface area and cone measures.
These findings could improve applications in geometric and statistical contexts.

Abstract

The L₏ 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).

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Cite This Study

Shan et al. (Sun,) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d1297223 https://doi.org/https://doi.org/10.48550/arxiv.2503.00970

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