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The $L_{p}$ Gaussian Minkowski problem for $C$-pseudo-cones

Published 2 Mar 2025 in math.MG and math.PR | (2503.00970v1)

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 ($p=0$).

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