Jingyi Chen

This conference will demonstrate and strengthen connections between geometric analysis and nonlinear partial differential equations. We focus on new advances in several related themes, which include variational problems, evolution equations, complex...

In this joint work with Albert Chau and Weiyong He, we prove existence of longtime smooth solution to mean curvature flow of entire Lagrangian graphs without assuming curvature bounds on initial manifold. We also obtain a Bernstein type result for...

A classical theorem in minimal surface theory says that any entire minimal graph in R^3 is a plane. We ask the same question for the Willmore equation which is of 4th order. We prove that an entire Willmore graph is a plane if its Willmore functional...