A new proof of the interior gradient bound for the minimal surface equation in N dimensions.
An interior gradient bound for classical solutions of the minimal surface equation in n variables was established by Bombieri, De Giorgi, and Miranda in 1968. We provide a new and simpler derivation of this estimate and partly develop in the process some new techniques applicable to the study of hypersurfaces in general.
Trudinger
N S
NS
University of Queensland, St. Lucia, Queensland 4067, Australia.