By Ravi Shankar and Yu Yuan

We derive a priori interior Hessian estimates and interior regularity for the *\sigma_2* equation in dimension four. Our method provides respectively a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher *n\ge 5* dimensions.

May 21, 2023

Loading full text...

Similar articles

Loading recommendations...

x1

Hessian estimates for the sigma-2 equation in dimension four

Click on play to start listening