On a constant rank theorem for nonlinear elliptic PDEs
Analysis of PDEs
2018-12-14 v2
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.
Cite
@article{arxiv.1509.07168,
title = {On a constant rank theorem for nonlinear elliptic PDEs},
author = {Gábor Székelyhidi and Ben Weinkove},
journal= {arXiv preprint arXiv:1509.07168},
year = {2018}
}
Comments
11 pages, v2 final version to appear in Discrete Contin. Dyn. Syst. A