256 citations · 361 across the 14 of their papers we have counts for
15 papers
From Cauchy to Gaussian: Sharp Lower Deviations and Ehrhard-Type Inequality
Yong Huang, Shengyu Tang, Sinan Wang
We establish dimension-free, pointwise optimal lower-deviation bounds for convex functions under spherically symmetric Cauchy-type measures. These bounds use either mean-variance n…
Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
Yong Huang, Erwin Lutwak, Deane Yang +1
A longstanding question in the dual Brunn-Minkowski theory is what are the dual analogues of Federer's curvature measures for convex bodies. The answer to this is provided. This le…
Minkowski Problems for Geometric Measures
Yong Huang, Deane Yang, Gaoyang Zhzng
This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed…
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…
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}…
Dual curvature measures for log-concave functions
Yong Huang, Jiaqian Liu, Dongmeng Xi +1
We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Hu…
Stability analysis on the thermal insulation problems
Yong Huang, Qinfeng Li, Qiuqi Li
Based on the domain variational point of view, we carry on stability analysis on two shape optimization problems from thermal insulation background. The novelty is that, we do not…
The Minkowski problem in the Gaussian probability space
Yong Huang, Dongmeng Xi, Yiming Zhao
The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem,…
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…
On the uniqueness of -Minkowski problems: the constant -curvature case in
Yong Huang, Jiakun Liu, Lu Xu
We study the smooth convex bodies satisfying , where , is the Gauss curvature of $\partial\mathbb{K…
Two problems related to prescribed curvature measures
Yong Huang
Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. In surprise, that…