Estimates on elliptic equations that hold only where the gradient is large
Analysis of PDEs
2016-05-10 v3
Abstract
We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the H{\"o}lder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.
Cite
@article{arxiv.1306.2429,
title = {Estimates on elliptic equations that hold only where the gradient is large},
author = {Cyril Imbert and Luis Silvestre},
journal= {arXiv preprint arXiv:1306.2429},
year = {2016}
}
Comments
18 pages