Yingxiang Hu

collaborators

4 papers

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.AP2025

Capillary $L_{p}$ 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…

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

Capillary Lp​ Minkowski Flows

Capillary curvature images

Capillary Christoffel-Minkowski problem

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

Capillary $L_{p}$ Minkowski Flows