https://neckpinch.com/authors/qi-ding/New arXiv papers by Qi Ding, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1706.01412/arxiv:1706.01412Mon, 05 Jun 2017 00:00:00 GMTQi 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.Mean curvature flow https://neckpinch.com/papers/1701.01674/arxiv:1701.01674Fri, 06 Jan 2017 00:00:00 GMTQi 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 mean convex bounded C² domains for a large class of prescribed boundary data. This result can be seen as a natural generalization of the classical sharp criterion for solvability of the minimal surface equation by Jenkins-Serrin. In contrast, we also construct a class of prescribed boundary data on just mean convex domains for which the Dirichlet problem in codimension 2 is not solvable. Moreover, we study existence and the uniqueness of minimal graphs by perturbation.Mean curvature flowHomogeneous spacesStability & uniquenessMinimal & CMC surfaces