Boundary Regularity for Minimal Graphs of Higher Codimensions*
2022-11-09 07:36:00QiDINGYuanlongXIN
Qi DINGYuanlong XIN
1Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200438,China.E-mail:dingqi@fudan.edu.cn
2Institute of Mathematics,Fudan University,Shanghai 200433,China.E-mail:ylxin@fudan.edu.cn
Abstract In this paper,the authors derive H¨older gradient estimates for graphic functions of minimal graphs of arbitrary codimensions over bounded open sets of Euclidean space under some suitable conditions.
Keywords Boundary regularity,Minimal graphs,Higher condimension,Bernstein type theorem
1 Introduction
2 A Priori H¨older Gradient Estimates for Minimal Graphs
3 Appendix
Chinese Annals of Mathematics,Series B2022年5期
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