Mohammad N. Ivaki

activity

20122026

most citedDeforming a hypersurface by principal radii of curvature and support function

59 citations · 268 across the 39 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

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…

math.DG2025

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 $θ \in (0, \frac{π}{2})$ . Mor…

math.DG2025

Capillary curvature images

Yingxiang Hu, Mohammad N. Ivaki

In this paper, we solve the even capillary $L_{p}$ -Minkowski problem for the range $- n < p < 1$ and $θ \in (0, \frac{π}{2})$ . Our approach is based on an iterative scheme that builds on…

math.DG2025

Capillary Christoffel-Minkowski problem

Yingxiang Hu, Mohammad N. Ivaki, Julian Scheuer

The result of Guan and Ma (Invent. Math. 151 (2003)) states that if $ϕ^{- 1/ k} : S^{n} \to (0, \infty)$ is spherically convex, then $ϕ$ arises as the $σ_{k}$ curvature (the $k$ -…

Capillary Lp​-Christoffel-Minkowski problem

On the conjectured capillary Blaschke-Santaló inequality

Capillary curvature images

Capillary Christoffel-Minkowski problem

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