26 citations · 47 across the 13 of their papers we have counts for
12 papers
Existence and non-existence of minimal graphs
Qi Ding, J. Jost, Y. L. Xin
We study the Dirichlet problem for minimal surface systems in arbitrary dimension and codimension via mean curvature flow, and obtain the existence of minimal graphs over arbitrary…
Submanifolds with constant Jordan angles
J. Jost, Y. L. Xin, Ling Yang
To study the Lawson-Osserman's counterexample to the Bernstein problem for minimal submanifolds of higher codimension, a new geometric concept, submanifolds in Euclidean space with…
A spherical Bernstein theorem for minimal submanifolds of higher codimension
J. Jost, Y. L. Xin, Ling Yang
Combining the tools of geometric analysis with properties of Jordan angles and angle space distributions, we derive a spherical and a Euclidean Bernstein theorem for minimal subman…
Curvature estimates for minimal submanifolds of higher codimension and small G-rank
J. Jost, Y. L. Xin, Ling Yang
We obtain new curvature estimates and Bernstein type results for minimal submanifolds in $\ir{n+m},\, m\ge 2$ under the condition that the rank of its Gauss map is at most 2. I…
The rigidity theorems of self shrinkers
Qi Ding, Y. L. Xin
By using certain idea developed in minimal submanifold theory we study rigidity problem for self-shrinkers in the present paper. We prove rigidity results for squared norm of the s…
Volume growth, eigenvalue and compactness for self-shrinkers
Qi Ding, Y. L. Xin
In this paper, we show an optimal volume growth for self-shrinkers, and estimate a lower bound of the first eigenvalue of operator on self-shrinkers, inspired by the…