4 papers
Minimal graphs of arbitrary codimension in Euclidean space with bounded 2-dilation
Qi Ding, J. Jost, Y. L. Xin
For any , let denote the space containing all locally Lipschitz minimal graphs of dimension and of arbitrary codimension in Euclidean space $\mathb…
Boundary regularity for mean curvature flows of higher codimension
Qi Ding, J. Jost, Y. L. Xin
In this paper, we derive global bounds for the Hölder norm of the gradient of solutions of graphic mean curvature flow with boundary of arbitrary codimension.
Minimal graphic functions on manifolds of non-negative Ricci curvature
Qi Ding, J. Jost, Y. L. Xin
We study minimal graphic functions on complete Riemannian manifolds $\Si$ with non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay. We derive global…
Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature
Qi Ding, J. Jost, Y. L. Xin
We study minimal hypersurfaces in manifolds of non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay at infinity. By comparison with capped spherical…