Partial results on extending the Hopf Lemma
Analysis of PDEs
2009-10-05 v1 Differential Geometry
Abstract
In [1], Theorem 3, the authors proved, in one dimension, a generalization of the Hopf Lemma, and the question arose if it could be extended to higher dimensions. In this paper we present two conjectures as possible extensions, and give a very partial answer. We write this paper to call attention to the problem.
Cite
@article{arxiv.0910.0322,
title = {Partial results on extending the Hopf Lemma},
author = {YanYan Li and Louis Nirenberg},
journal= {arXiv preprint arXiv:0910.0322},
year = {2009}
}