5 papers · 1 filter
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…
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…
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}^…
A half-space Bernstein theorem for anisotropic minimal graphs
Wenkui Du, Connor Mooney, Yang Yang +1
We prove that an anisotropic minimal graph over a half-space with flat boundary must itself be flat. This generalizes a result of Edelen-Wang to the anisotropic case. The proof use…
Flatness of anisotropic minimal graphs in
Wenkui Du, Yang Yang
We prove a Bernstein theorem for -anisotropic minimal hypersurfaces in all dimensional Euclidean spaces that the only entire smooth solutions $u: \mathbb{R}^{n}\rightarrow \math…