Jinyu Gao

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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 $I ¨ _{0}$ -capillary $p$ -sum} of two hypersurfaces in $R_{+}^{n + 1}$ , and establishes a theory for anisotropic capillary convex bodi…

math.DG2025

Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space

Jinyu Gao, Guanghan Li

In this paper, the results of Mei, Wang, Weng and Xia [Math. Z., 2025, MR4911815] on capillary convex bodies are extended to the anisotropic setting. We develop a theory for anisot…

math.DG2025

Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces

Jinyu Gao, Guanghan Li

In this paper, we obtain a new Hsiung-Minkowski integral formula for anisotropic capillary hypersurfaces in the half-space, which includes the weighted Hsiung-Minkowski formula and…

math.DG2025

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 $I ¨ _{0}$ -capillary hypersurfaces in the half-space is studied, and the long-time…

The Anisotropic Capillary Lp​-Minkowski Problem

Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space

Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces

Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities

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