4 papers · 1 filter
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…
A flow approach to the monotonicity of shape functionals
Yong Huang, Qinfeng Li, Shuangquan Xie +1
We develop a geometric flow framework to investigate two classical shape functionals: the torsional rigidity and the first Dirichlet eigenvalue of the Laplacian. First, by construc…
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…
On Laplacian eigenvalue equation with constant Neumann boundary data
Yong Huang, Qinfeng Li, Qiuqi Li +1
Let be a bounded Lipshcitz domain in and we study boundary behaviors of solutions to the Laplacian eigenvalue equation with constant Neumann data. \begin{align}…