4 papers · 1 filter
Hamiltonian stationary cones and self-similar solutions in higher dimension
Yng-Ing Lee, Mu-Tao Wang
In [LW], we construct examples of two-dimensional Hamiltonian stationary self-shrinkers and self-expanders for Lagrangian mean curvature flows, which are asymptotic to the union of…
Hamiltonian Stationary Shrinkers and Expanders for Lagrangian Mean Curvature Flows
Yng-Ing Lee, Mu-Tao Wang
We construct examples of shrinkers and expanders for Lagrangian mean curvature flows. These examples are Hamiltonian stationary and asymptotic to the union of two Hamiltonian stati…
A Note on the Stability and Uniqueness for Solutions to the Minimal Surface System
Yng-Ing Lee, Mu-Tao Wang
In this note, we show that the solution to the Dirichlet problem for the minimal surface system in any codimension is unique in the space of distance-decreasing maps. This follows…
A Stability Criterion for Nonparametric Minimal Submanifolds
Yng-Ing Lee, Mu-Tao Wang
An dimensional minimal submanifold of is called non-parametric if can be represented as the graph of a vector-valued function .…