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A new proof of the interior gradient bound for the minimal surface equation in N dimensions.

Journal Article


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.

Publication Date


  • 1972

Citation


  • Trudinger, N. S. (1972). A new proof of the interior gradient bound for the minimal surface equation in N dimensions.. Proceedings of the National Academy of Sciences of the United States of America, 69(4), 821-823. doi:10.1073/pnas.69.4.821

Web Of Science Accession Number


Start Page


  • 821

End Page


  • 823

Volume


  • 69

Issue


  • 4

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.

Publication Date


  • 1972

Citation


  • Trudinger, N. S. (1972). A new proof of the interior gradient bound for the minimal surface equation in N dimensions.. Proceedings of the National Academy of Sciences of the United States of America, 69(4), 821-823. doi:10.1073/pnas.69.4.821

Web Of Science Accession Number


Start Page


  • 821

End Page


  • 823

Volume


  • 69

Issue


  • 4