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.
University of Queensland, St. Lucia, Queensland 4067, Australia.
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Trudinger