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Interior gradient estimates for graphic submanifolds with high codimensions

Volume 121 / 2018

Jiao Gu 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.

Authors

  • Jiao GuSchool of Science
    Jiangnan University
    214122, Wuxi, China
    e-mail

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