Mohammad N. Ivaki

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math.AP2026

Centro-affine PoincarÃ© inequality: Unconditional convex bodies

Yingxiang Hu, Mohammad N. Ivaki

We prove that the centro-affine PoincarÃ© inequality holds with constant $n$ for every $C_{+}^{\infty}$ unconditional convex body and every smooth function with natural orthogonality…

math.AP2026

Weighted centro-affine PoincarÃ© 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 PoincarÃ© inequalities…

math.AP2026

Capillary $L_{p}$ -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 $L_{p}$ -Christoffel-Minkowski problem

Yingxiang Hu, Mohammad N. Ivaki

We solve the capillary $L_{p}$ -Christoffel--Minkowski problem in the half-space for $1 < p < k + 1$ in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate th…

Centro-affine PoincarÃ© inequality: Unconditional convex bodies

Weighted centro-affine PoincarÃ© inequalities

Capillary Lp​-curvature problem

Capillary Lp​-Christoffel-Minkowski problem

Capillary $L_{p}$ -curvature problem

Capillary $L_{p}$ -Christoffel-Minkowski problem