1 citations · 1 across the 3 of their papers we have counts for
5 papers
Sharp dynamical isoperimetric principle for mean curvature flow
Beomjun Choi, Wenkui Du, Seung Chul Park +1
In this paper, we establish a sharp dynamical isoperimetric principle for weak mean curvature flow. We prove that, among weak mean curvature flows with fixed area of initial smooth…
Second order estimates on transition layers for the Allen-Cahn equation with homogeneous Neumann boundary conditions: Part I - Boundary-orthogonal transition layers
Akashdeep Dey, Wenkui Du, Davide Parise +1
We study stable solutions of the Allen-Cahn equation with homogeneous Neumann boundary condition on Riemannian manifolds with boundary in the regime where the transition layers mee…
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…