Yong Liu

activity

20112026

most citedGlobal minimizers of the Allen-Cahn equation in dimension

n \geq 8

4 citations · 14 across the 14 of their papers we have counts for

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math.AP2026

Stable De Giorgi conjecture of the Allen--Cahn equation in $R^{3}$

Yong Liu, Tianci Luo, Kelei Wang +3

We prove that every bounded stable entire solution $v$ of the Allen--Cahn equation in $R^{3}$ is one-dimensional. As a consequence, the full De Giorgi conjecture in $R^{4}$ i…

math.AP2026

Free boundary regularity in obstacle problems with a degenerate forcing term

Yong Liu

In this paper, we consider the properties of a special free boundary point in the following obstacle problem: The Laplacian of u equals f(x) multiplied by the characteristic functi…

Stable De Giorgi conjecture of the Allen--Cahn equation in R3

Free boundary regularity in obstacle problems with a degenerate forcing term

Stable De Giorgi conjecture of the Allen--Cahn equation in $R^{3}$