The Neumann problem for singular fully nonlinear operators
Analysis of PDEs
2007-12-06 v1
Abstract
We consider the Neumann problem in bounded domains for fully nonlinear second order operators which are elliptic, homogenous with lower order terms. Inspired by \cite{bnv}, we define the concept of principal eigenvalue and we characterize it through the maximum principle. Moreover, Lipschitz regularity, uniqueness and existence results for solutions of the Neumann problem are given.
Cite
@article{arxiv.0712.0731,
title = {The Neumann problem for singular fully nonlinear operators},
author = {Stefania Patrizi},
journal= {arXiv preprint arXiv:0712.0731},
year = {2007}
}