On Hopf's Lemma and the Strong Maximum Principle

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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.
27 pages,4 figures

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/74000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501503
 http://arxiv.org/abs/math/0501503

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arXiv