Eigenfunctions for singular fully non linear equations in unbounded domains
Analysis of PDEs
2009-04-13 v1
Abstract
In this paper we prove some Harnack inequality for fully non linear degenerate elliptic equations, in the two dimensional case, extending the results of Davila Felmer and Quaas in the singular case but in all dimensions. We then apply this result for the existence of an eigenfunction in smooth bounded domain.
Cite
@article{arxiv.0904.1720,
title = {Eigenfunctions for singular fully non linear equations in unbounded domains},
author = {Isabella Birindelli and Francoise Demengel},
journal= {arXiv preprint arXiv:0904.1720},
year = {2009}
}
Comments
30 pages 2 figures