Interior gradient estimates for graphic submanifolds with high codimensions
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 231-242
MSC: Primary 53A07.
DOI: 10.4064/ap171107-22-7
Published online: 28 September 2018
Abstract
Relying on interior gradient estimates by M.-T. Wang [Amer. J. Math. 126 (2004), 921–934], we obtain estimates for general graphic submanifolds with high codimensions. This can also be seen as a generalization of the classical interior gradient estimate for the hypersurface equation to the case of high codimensions.