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Bibliographic Details
Main Author: Shankar, Ravi
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.01034
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Table of Contents:
  • New, doubling proofs are given for the interior Hessian estimates of the special Lagrangian equation. These estimates were originally shown by Chen-Warren-Yuan in CPAM 2009 and Wang-Yuan in AJM 2014. This yields a higher codimension analogue of Korevaar's 1987 pointwise proof of the gradient estimate for minimal hypersurfaces, without using the Michael-Simon mean value inequality.