Hessian estimates for special Lagrangian equation by doubling
Analysis of PDEs
2026-01-28 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2401.01034,
title = {Hessian estimates for special Lagrangian equation by doubling},
author = {Ravi Shankar},
journal= {arXiv preprint arXiv:2401.01034},
year = {2026}
}
Comments
15 pg