Boundary Harnack estimates in slit domains and applications to thin free boundary problems
Analysis of PDEs
2014-06-24 v1
Abstract
We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the regularity of the free boundary in the Signorini problem near non-degenerate points.
Cite
@article{arxiv.1406.6039,
title = {Boundary Harnack estimates in slit domains and applications to thin free boundary problems},
author = {Daniela De Silva and Ovidiu Savin},
journal= {arXiv preprint arXiv:1406.6039},
year = {2014}
}