Regularity and uniqueness of the first eigenfunction for singular fully non linear operators
Analysis of PDEs
2009-09-22 v1
Abstract
In this article we prove that solutions of singular fully nonlinear partial differential equations are . We also prove the simplicity of the principal eigenvalues for the Dirichlet Problem associated to these operators using that regularity, a strict comparison principle and Sard's theorem.
Cite
@article{arxiv.0909.3803,
title = {Regularity and uniqueness of the first eigenfunction for singular fully non linear operators},
author = {Isabeau Birindelli and Francoise Demengel},
journal= {arXiv preprint arXiv:0909.3803},
year = {2009}
}
Comments
30 pages, 1 figure