Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems
Analysis of PDEs
2013-10-10 v2
Abstract
In this work we establish local regularity estimates for flat solutions to non-convex fully nonlinear elliptic equations provided the coefficients and the source function are of class . For problems with merely continuous data, we prove that flat solutions are locally .
Keywords
Cite
@article{arxiv.1302.6554,
title = {Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems},
author = {Disson dos Prazeres and Eduardo Teixeira},
journal= {arXiv preprint arXiv:1302.6554},
year = {2013}
}
Comments
Improved version. 14 pages