8 citations · 13 across the 12 of their papers we have counts for
12 papers
Centro-affine spectral geometry of polytopes
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we develop a polyhedral version of Milman's centro-affine spectral framework for full-dimensional origin-symmetric polytopes. A weighted graph Laplacian on the facet…
Centro-affine Poincaré inequality: Unconditional convex bodies
Yingxiang Hu, Mohammad N. Ivaki
We prove that the centro-affine Poincaré inequality holds with constant for every unconditional convex body and every smooth function with natural orthogonality…
Capillary -curvature problem
Yingxiang Hu, Mohammad N. Ivaki
We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution…
Capillary -Christoffel-Minkowski problem
Yingxiang Hu, Mohammad N. Ivaki
We solve the capillary -Christoffel--Minkowski problem in the half-space for in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate th…
Capillary Minkowski Flows
Jinrong Hu, Yingxiang Hu, Mohammad N. Ivaki
We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence o…
On the conjectured capillary Blaschke-Santaló inequality
Carlos Cabezas-Moreno, Yingxiang Hu, Mohammad N. Ivaki
We prove that the conjectured capillary Blaschke--Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when . Mor…
Capillary curvature images
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we solve the even capillary -Minkowski problem for the range and . Our approach is based on an iterative scheme that builds on…
Capillary Christoffel-Minkowski problem
Yingxiang Hu, Mohammad N. Ivaki, Julian Scheuer
The result of Guan and Ma (Invent. Math. 151 (2003)) states that if is spherically convex, then arises as the curvature (the -…
New quermassintegral and Poincaré type inequalities for non-convex domains
Yingxiang Hu, Mohammad N. Ivaki
In the first part of this paper, we study the following non-homogeneous, locally constrained inverse curvature flow in Euclidean space , \begin{align*} \dot{x}=\l…
Stability of the cone-volume measure with near constant density
Yingxiang Hu, Mohammad N. Ivaki
We prove that if the density of the cone-volume measure of a smooth, strictly convex body with respect to the spherical Lebesgue measure is nearly constant, then a homothetic copy…
Prescribed curvature problem
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we establish the existence of smooth, origin-symmetric, strictly convex solutions to the prescribed even curvature problem.
On the uniqueness of solutions to the isotropic dual Minkowski problem
Yingxiang Hu, Mohammad N. Ivaki
We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic dual Minkowski problem \begin{align*} h^{p-1} |D h|^{n+1-q}\mathcal{K}=1, \end{ali…