On a constant rank theorem for nonlinear elliptic PDEs

Abstract

We give a new proof of Bian-Guan's constant rank theorem for nonlinear elliptic equations. Our approach is to use a linear expression of the eigenvalues of the Hessian instead of quotients of elementary symmetric functions.

11 pages, v2 final version to appear in Discrete Contin. Dyn. Syst. A

References in corpus (1)

• A Microscopic Convexity Principle for Nonlinear Partial Differential Equations