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math.AP2026
Stable De Giorgi conjecture of the Allen--Cahn equation in
Yong Liu, Tianci Luo, Kelei Wang +3
We prove that every bounded stable entire solution of the Allen--Cahn equation in is one-dimensional. As a consequence, the full De Giorgi conjecture in i…
math.AP2024★ 2 cited
The horospherical -Christoffel-Minkowski problem in hyperbolic space
Tianci Luo, Yong Wei
The horospherical -Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the -th horospherical -surface area measure of -convex domains i…