3 papers
math.AP2026
A growth gap for anisotropic minimal graphs
Yang Yang
We prove a growth gap for the gradient of entire anisotropic minimal graphs. For each and each smooth uniformly elliptic parametric integrand on , th…
math.AP2026
A Halfspace Theorem for Global Anisotropic Perimeter Minimizers
Yang Yang
We prove an arbitrary-dimensional halfspace theorem for global minimizers of a smooth uniformly elliptic anisotropic perimeter: if the nonempty boundary of a minimizing set is cont…
math.AP2024
Flat level sets of Allen-Cahn equation in half-space
Wenkui Du, Ling Wang, Yang Yang
We prove a half-space Bernstein theorem for Allen-Cahn equation. More precisely, we show that every solution of the Allen-Cahn equation in the half-space $\overline{\mathbb{R}^…