Boundary weak Harnack estimates and quantitative strong maximum principles for uniformly elliptic PDE
Analysis of PDEs
2017-08-11 v3
Abstract
We give full boundary extensions to two fundamental estimates in the theory of elliptic PDE, the weak Harnack inequality and the quantitative strong maximum principle, for uniformly elliptic equations in non-divergence form.
Cite
@article{arxiv.1608.01359,
title = {Boundary weak Harnack estimates and quantitative strong maximum principles for uniformly elliptic PDE},
author = {Boyan Sirakov},
journal= {arXiv preprint arXiv:1608.01359},
year = {2017}
}
Comments
24 pages, to appear in International Mathematics Research Notices