Shengnan Hu

most citedOn the Lp Gaussian Minkowski problem

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math.AP2026

Global $W^{2, 1 + ε}$ 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 $R^{2}$ . We show a global $W^{2, 1 + ε}$ estimate for potentials…

math.AP2022★ 1 cited

On the Lp Gaussian Minkowski problem

Yibin Feng, Shengnan Hu, Lei Xu

Existence of symmetric (resp. asymmetric) solutions to the $L_{p}$ Gaussian Minkowski problem for $p \leq 0$ (resp. $p \geq 1$ ) will be provided. Moreover, existence and uniqueness of…

Global W2,1+ε regularity for potentials of optimal transport of non-convex planar domains

On the Lp Gaussian Minkowski problem

Global $W^{2, 1 + ε}$ regularity for potentials of optimal transport of non-convex planar domains