S. Ding

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20222026

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math.DG2026

The Anisotropic Capillary $L_{p}$ -Minkowski Problem

Shanwei Ding, Jinyu Gao, Guanghan Li +1

This paper introduces the \textit{anisotropic $ω_{0}$ -capillary $p$ -sum} of two hypersurfaces in $R_{+}^{n + 1}$ , and establishes a theory for anisotropic capillary convex bodie…

math.DG2024

Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities

Shanwei Ding, Jinyu Gao, Guanghan Li

In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic $ω_{0}$ -capillary hypersurfaces in the half-space is studied, and the long-time e…

math.DG2024

Locally constrained flows and geometric inequalities in sphere

Shanwei Ding, Guanghan Li

In this paper, we uncover an intriguing algebra property of an element symmetric polynomial. By this property, we establish the longtime existence and convergence of a locally cons…

The Anisotropic Capillary Lp​-Minkowski Problem

Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities

Locally constrained flows and geometric inequalities in sphere

The Anisotropic Capillary $L_{p}$ -Minkowski Problem