The global curvature estimate for the n-2 Hessian equation

TL;DR

This paper provides a global curvature estimate for the $n-2$ Hessian equation with a general right-hand side, advancing understanding of curvature bounds in nonlinear PDEs.

Contribution

It offers a partial solution to the longstanding problem of estimating curvature for the $n-2$ Hessian equation with general data.

Findings

Established a global curvature estimate for the $n-2$ Hessian equation

Partially solved a longstanding open problem in nonlinear PDEs

Provides new techniques for curvature estimation in complex equations

Abstract

This paper establishes the global curvature estimate for the $n-2$ curvature equation with the general right hand side which partially solves this longstanding problem.