6 papers · 1 filter
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…
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…