On Hopf's Lemma and the Strong Maximum Principle

2005/01/28 by S. Bertone, Bertone, S., A. Cellina +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.math/0501503

27 pages,4 figures

arxiv created 2005/01/28 · arxiv updated 2009/12/01

Abstract

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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