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arxiv: 2412.20908 · v1 · pith:K6J3M4RZnew · submitted 2024-12-30 · 🧮 math.FA

The Gaussian-Minkowski problem for C-pseudo-cones

classification 🧮 math.FA
keywords pseudo-conesgaussian-minkowskiproblemapproximationareaargumentsco-volumeexistence
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The Gaussian surface area measures for $C$-pseudo-cones are studied in this paper. Using the variational arguments and the approximation methods of Schneider, we obtain the existence of solutions to the Gaussian-Minkowski problem for $C$-pseudo-cones with small co-volume.

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