On Hopf's Lemma and the Strong Maximum Principle

Details On Hopf's Lemma and the Strong Maximum Principle On Hopf's Lemma and the Strong Maximum Principle

2005-01-28

arxiv.org/abs/math/0501503v1

Mathematics

Analysis of PDEs

27 pages,4 figures

Scientific paper

In this paper we consider Hopf's Lemma and the Strong Maximum Principle for supersolutions to a class of non elliptic equations. In particular we prove a sufficient condition for the validity of Hopf's Lemma and of the Strong Maximum Principle and we give a condition which is at once necessary for the validity of Hopf's Lemma and sufficient for the validity of the Strong Maximum Principle.

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