On Hopf's Lemma and the Strong Maximum Principle

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 neces...

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Bibliographic Details
Main Authors Bertone, S, Cellina, A, Marchini, E. M
Format Journal Article
LanguageEnglish
Published 28.01.2005
Subjects
Mathematics - Analysis of PDEs
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Summary: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.
DOI:10.48550/arxiv.math/0501503