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A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions

Authors
  • Neil S. Trudinger
Publication Date
Apr 01, 1972
Source
PMC
Keywords
License
Unknown

Abstract

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.

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