Hessian estimates for special Lagrangian equation by doubling
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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Pelvic and Acetabular Injuries
Publication details
- Journal / source
- Analysis & PDE
- Publisher
- Mathematical Sciences Publishers
- Volume
- 19
- Issue
- 2
- Pages
- 339–352
- Publication date
- 22 January 2026
- Language
- EN