9 papers
Regularity of branched stable minimal immersed hypersurfaces
Gaoming Wang, Xuwen Zhang
We establish a sharp bound on the Hausdorff dimension of the non-branch singular set of branched stable minimal immersed hypersurfaces whose singular sets have locally finite $\mat…
Regularity of stable capillary minimal hypersurfaces
Gaoming Wang, Xuwen Zhang
We develop a regularity and compactness theory for stable capillary minimal hypersurfaces in the half-space with contact angle and dimension $n \geq…
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…
Half-space Liouville-type theorems for minimal graphs with capillary boundary
Guofang Wang, Wei Wei, Xuwen Zhang
In this paper, we prove two Liouville-type theorems for capillary minimal graph over . First, if has linear growth, then for and for any ,…
Varifolds with capillary boundary
Guofang Wang, Xuwen Zhang
In this paper we introduce and study a new class of varifolds in of arbitrary dimensions and co-dimensions, which satisfy a Neumann-type boundary condition chara…
Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
Xiaohan Jia, Xuwen Zhang
In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capilla…