Weak Harnack inequalities for eigenvalues and constant rank theorems
Analysis of PDEs
2021-11-17 v1
Abstract
We consider convex solutions of nonlinear elliptic equations which satisfy the structure condition of Bian-Guan. We prove a weak Harnack inequality for the eigenvalues of the Hessian of these solutions. This can be viewed as a quantitative version of the constant rank theorem.
Cite
@article{arxiv.2010.10692,
title = {Weak Harnack inequalities for eigenvalues and constant rank theorems},
author = {Gábor Székelyhidi and Ben Weinkove},
journal= {arXiv preprint arXiv:2010.10692},
year = {2021}
}
Comments
15 pages