collaborators

8 papers

math.AP2026

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…

math.AP2026

Weighted centro-affine Poincaré inequalities

Yingxiang Hu, Mohammad N. Ivaki

We obtain weighted centro-affine Bochner formulas on spherical caps associated with smooth strictly convex hypersurfaces. As a consequence, we prove weighted Poincaré inequalities…

math.DG2026

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 .…

math.AP2026

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…

math.AP2025

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…

math.DG2025

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 o…