Analysis establishes existence and uniqueness for the Gaussian Minkowski problem in $C$-pseudo-cones, suggesting robust solutions.
The Lₚ 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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Shan et al. (2025) studied this question.
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