The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations
Analysis of PDEs
2020-10-23 v1
Abstract
We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and -Laplace type equations with a right hand side, as well as for the Laplace equation on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.
Keywords
Cite
@article{arxiv.2010.11854,
title = {The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations},
author = {Mark Allen and Dennis Kriventsov and Henrik Shahgholian},
journal= {arXiv preprint arXiv:2010.11854},
year = {2020}
}