Chung-Jun Tsai

collaborators

4 papers

math.DG2025

Constructing entire minimal graphs by evolving planes

Chung-Jun Tsai, Mao-Pei Tsui, Jingbo Wan +1

We introduce an evolving-plane ansatz for the explicit construction of entire minimal graphs of dimension $n$ ( $n \geq 3$ ) and codimension $m$ ( $m \geq 2$ ), for any odd integer $n$ .…

math.DG2025

An ansatz for constructing explicit solutions of Hessian equations

Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang

We introduce a (variation of quadrics) ansatz for constructing explicit, real-valued solutions to broad classes of complex Hessian equations on domains in $C^{n + 1}$ and re…

math.DG2025

A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria

Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang

A new monotone quantity in graphical mean curvature flows of higher codimensions is identified in this work. The submanifold deformed by the mean curvature flow is the graph of a m…

math.DG2025

Entire solutions of two-convex Lagrangian mean curvature flows

Chung-Jun Tsai, Mao-Pei Tsui, Mu-Tao Wang

Given an entire $C^{2}$ function $u$ on $R^{n}$ , we consider the graph of $D u$ as a Lagrangian submanifold of $R^{2 n}$ , and deform it by the mean curvature flow in $…