256 citations · 257 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…
Concentration breaking on two optimization problems
Yong Huang, Qinfeng Li, Qiuqi Li
In the present paper, we study the boundary concentration breaking phenomena on two thermal insulation problems considered on Lipschitz domains, based on Serrin's overdetermined re…
Noncompact -Minkowski problems
Yong Huang, Jiakun Liu
In this paper we prove the existence of complete, noncompact convex hypersurfaces whose -curvature function is prescribed on a domain in the unit sphere. This problem is related…
-Brunn-Minkowski inequality for
Shibing Chen, Yong Huang, Qi-rui Li +1
Kolesnikov-Milman [9] established a local -Brunn-Minkowski inequality for Based on their local uniqueness results for the -Minkowski proble…