2 papers
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…
math.AP2024
The Logarithmic Sobolev inequality on non-compact self-shrinkers
Guofang Wang, Chao Xia, Xiqiang Zhang
In the paper we establish an optimal logarithmic Sobolev inequality for complete, non-compact, properly embedded self-shrinkers in the Euclidean space, which generalizes a recent r…