3 papers
math.MG2025
The Gaussian Minkowski-type problems for -pseudo-cones
Junjie Shan, Wenchuan Hu, Wenxue Xu
The Gaussian surface area measure and the Gaussian cone measure for -pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski pr…
math.MG2025
The Gaussian Minkowski problem for -pseudo-cones
Junjie Shan, Wenchuan Hu
The Gaussian Minkowski problem for -pseudo-cones is studied in this paper, and the existence and uniqueness results are established. This extends our previous work on th…
math.FA2025
The Gaussian log-Minkowski problem for C-pseudo-cones
Junjie Shan, Wenchuan Hu
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 proble…