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

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…

The Anisotropic Capillary Lp​-Minkowski Problem

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

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