Chao Xia

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20242026

most citedAlexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary II

2 citations · 2 across the 5 of their papers we have counts for

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math.DG2026

Stable Capillary Minimal Hypersurfaces in $R_{+}^{4}$

Jia Li, Chenghang Lu, Chao Xia

We prove that a complete, two-sided, stable capillary minimal hypersurface in $R_{+}^{4}$ is flat provided its contact angle $θ$ satisfies $∣ cot θ ∣ < κ_{*}$ , where $κ_*=4Γ(3/4)^2/Γ(1/4)^2…

math.DG2026

A half-space Liouville theorem for anisotropic minimal graph with free boundary

Guofang Wang, Wei Wei, Chao Xia +1

In this paper we prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has a…

Stable Capillary Minimal Hypersurfaces in R+4​

A half-space Liouville theorem for anisotropic minimal graph with free boundary

Stable Capillary Minimal Hypersurfaces in $R_{+}^{4}$