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4 papers
On the Reverse Projection Inequality
Yibin Feng, Shengnan Hu, Weiru Liu +1
In \cite {ChenFengLiXiXu2026}, a reverse projection inequality for general convex bodies was established in three dimensions. In this paper, we completely characterize the equality…
Global regularity for potentials of optimal transport of non-convex planar domains
Shengnan Hu, Yuanyuan Li
In this paper, we investigate the optimal transport problem when the source is a non-convex polygonal domain in . We show a global estimate for potentials…
On the planar Gaussian-Minkowski problem
Shibing Chen, Shengnan Hu, Weiru Liu +1
The current work focuses on the Gaussian-Minkowski problem in dimension 2. In particular, we show that if the Gaussian surface area measure is proportional to the spherical Lebesgu…
On the Lp Gaussian Minkowski problem
Yibin Feng, Shengnan Hu, Lei Xu
Existence of symmetric (resp. asymmetric) solutions to the Gaussian Minkowski problem for (resp. ) will be provided. Moreover, existence and uniqueness of…