Hessian estimates for special Lagrangian equation by doubling
arXiv:2401.01034 · doi:10.2140/apde.2026.19.339
Abstract
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.
arXiv comment15 pg