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arxiv: 2503.00970 · v1 · pith:DVNRP6EM · submitted 2025-03-02 · math.MG · math.PR

The L_(p) Gaussian Minkowski problem for C-pseudo-cones

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classification math.MG math.PR
keywords gaussianminkowskiproblempseudo-conesmeasureareaconeestablished
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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 ($p=0$).

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