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Partial results on extending the Hopf Lemma (2009)

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.

Publication details
Download http://arxiv.org/abs/0910.0322
Repository arXiv (United States)
Keywords Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, 35J60, 53A05
Type text