2 citations · 6 across the 6 of their papers we have counts for
6 papers
Stability of regular shrinkers in the network flow
Jui-En Chang
The singularities of network flow are modeled by self-similarly shrinking solutions called regular shrinkers. In this paper, we study the stability of regular shrinkers. We show th…
Uniqueness of regular shrinkers with 2 closed regions
Jui-En Chang, Yang-Kai Lue
Regular shrinkers describe blow-up limits of a finite-time singularity of the motion by curvature of planar network of curves. This follows from Huisken's monotonicity formula. In…
Self similar solutions to the inverse mean curvature flow in
Jui-En Chang
In this paper, we obtain a complete list of all self-similar solutions of inverse mean curvature flow in .
Lower bounds for nodal set of biharmonic Steklov problems
Jui-En Chang
We use layer potential to establish that the boundary biharmonic Steklov operators are elliptic pseudo-differential operators. Thus we are able to establish lower bounds on both th…
One dimensional solutions of the -self shrinkers
Jui-En Chang
In this paper, we study the solution to the 1-dimensional -self shrinkers and show that for certain , there are some closed, embedded solutions other than the circle.
The Weyl problem with nonnegative Gauss curvature in hyperbolic space
Jui-En Chang, Ling Xiao
In this paper, we discuss the isometric embedding problem in hyperbolic space with nonnegative extrinsic curvature. We prove a priori bounds for the trace of the second fundamental…