A constant rank theorem for special Lagrangian equations
Analysis of PDEs
2024-05-30 v1 Differential Geometry
Abstract
Constant rank theorems are obtained for saddle solutions to the special Lagrangian equation and the quadratic Hessian equation. The argument also leads to Liouville type results for the special Lagrangian equation with subcritical phase, matching the known rigidity results for semiconvex entire solutions to the quadratic Hessian equation.
Cite
@article{arxiv.2405.18603,
title = {A constant rank theorem for special Lagrangian equations},
author = {W. Jacob Ogden and Yu Yuan},
journal= {arXiv preprint arXiv:2405.18603},
year = {2024}
}