3 citations · 10 across the 8 of their papers we have counts for
8 papers
The chord Gauss curvature flow and its chord Minkowski problem
Jinrong Hu, Yong Huang, Jian Lu +1
In this paper, the chord Minkowski problem is concerned. Based on the results showed in \cite{HJ23}, we obtain a new existence result of solutions to this problem in terms…
Smooth solutions to the chord log-Minkowski problem
Jinrong Hu, Yong Huang, Jian Lu
In integral geometry generalized with Aleksandrov's variational theory, Lutwak-Xi-Yang-Zhang [Comm. Pure Appl. Math. 77 (2024)] recently opened the door to researching the cone-cho…
On the number of solutions to the planar dual Minkowski problem
YanNan Liu, Jian Lu
The dual Minkowski problem in the two-dimensional plane is studied in this paper. By combining the theoretical analysis and numerical estimation of an integral with parameters, we…
Maximizing the Sum of the Distances between Four Points on the Unit Hemisphere
Zhenbing Zeng, Jian Lu, Yaochen Xu +1
In this paper, we prove a geometrical inequality which states that for any four points on a hemisphere with the unit radius, the largest sum of distances between the points is 4+4*…
A generalized Gauss curvature flow related to the Orlicz-Minkowski problem
YanNan Liu, Jian Lu
In this paper a generalized Gauss curvature flow about a convex hypersurface in the Euclidean -space is studied. This flow is closely related to the Orlicz-Minkowski problem, wh…
Existence of smooth even solutions to the dual Orlicz-Minkowski problem
Li Chen, YanNan Liu, Jian Lu +1
In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gaus…
A flow method for the dual Orlicz-Minkowski problem
YanNan Liu, Jian Lu
In this paper the dual Orlicz-Minkowski problem, a generalization of the dual Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support func…
Non-uniqueness of solutions to the dual -Minkowski problem
Qi-Rui Li, Jiakun Liu, Jian Lu
The dual -Minkowski problem with is investigated in this paper. By proving a new existence result of solutions and constructing an example, we obtain the non-uniquenes…