A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Analysis of PDEs
2020-01-22 v1
Abstract
This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in (Julin, ARMA -15), to prove a generalized Carleson estimate. We also prove boundary H\"older continuity and a boundary Harnack type inequality.
Cite
@article{arxiv.1508.06403,
title = {A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term},
author = {Benny Avelin and Vesa Julin},
journal= {arXiv preprint arXiv:1508.06403},
year = {2020}
}