The Gaussian log-Minkowski problem for C-pseudo-cones
Junjie Shan, Wenchuan Hu
TL;DR
This paper proves the existence of solutions to the Gaussian log-Minkowski problem for C-pseudo-cones and shows that these solutions are not unique, advancing understanding in convex geometric analysis.
Contribution
It establishes existence results and demonstrates non-uniqueness for solutions to the Gaussian log-Minkowski problem in the context of C-pseudo-cones.
Findings
Existence of solutions is proven.
Solutions to the problem are not unique.
Advances understanding of Gaussian Minkowski problems.
Abstract
The existence of solutions to the Gaussian logarithmic Minkowski problem for C-pseudo-cones is established in this paper. In addition, the non-uniqueness of solutions to the problem is demonstrated.
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Taxonomy
TopicsPoint processes and geometric inequalities · Computational Geometry and Mesh Generation · Mathematical Approximation and Integration