Perron's method for nonlocal fully nonlinear equations
Analysis of PDEs
2018-02-28 v4
Abstract
This paper is concerned with existence of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations. We construct a discontinuous viscosity solution of such nonlocal equation by Perron's method. If the equation is uniformly elliptic in the sense of \cite{SS}, we prove the discontinuous viscosity solution is H\"older continuous and thus it is a viscosity solution.
Cite
@article{arxiv.1610.03426,
title = {Perron's method for nonlocal fully nonlinear equations},
author = {Chenchen Mou},
journal= {arXiv preprint arXiv:1610.03426},
year = {2018}
}
Comments
Added a figure, fixed typos, to appear in Anal. PDE