Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data

@inproceedings{MILAKIS2006RegularityFF,
title={Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data},
author={EMMANOUIL MILAKIS and Luis Silvestre},
year={2006}
}

The theory of viscosity solutions gives a solid framework to study fully nonlinear elliptic equations, and provides a powerful way to prove existence and uniqueness in a very general setting. The question of regularity of the corresponding solutions (that in principle are merely continuous) has been studied extensively in the last decade. There are good results for interior regularity as well as for regularity up to the boundary in the case of the Dirichlet problem. However, for the Neumann… CONTINUE READING