Jiakun Liu

most citedOn the uniqueness of

L_{p}

-Minkowski problems: the constant

p

-curvature case in

R^{3}

91 citations · 92 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2018★ 1 cited

Noncompact $L_{p}$ -Minkowski problems

Yong Huang, Jiakun Liu

In this paper we prove the existence of complete, noncompact convex hypersurfaces whose $p$ -curvature function is prescribed on a domain in the unit sphere. This problem is related…

math.AP2015★ 91 cited

On the uniqueness of $L_{p}$ -Minkowski problems: the constant $p$ -curvature case in $R^{3}$

Yong Huang, Jiakun Liu, Lu Xu

We study the $C^{4}$ smooth convex bodies $K \subset R^{n + 1}$ satisfying $K (x) = u (x)^{1 - p}$ , where $x \in S^{n}$ , $K$ is the Gauss curvature of $\partial\mathbb{K…

Noncompact Lp​-Minkowski problems

On the uniqueness of Lp​-Minkowski problems: the constant p-curvature case in R3

Noncompact $L_{p}$ -Minkowski problems

On the uniqueness of $L_{p}$ -Minkowski problems: the constant $p$ -curvature case in $R^{3}$