On Hopf's Lemma and the Strong Maximum Principle
Analysis of PDEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0501503,
title = {On Hopf's Lemma and the Strong Maximum Principle},
author = {S. Bertone and A. Cellina and E. M. Marchini},
journal= {arXiv preprint arXiv:math/0501503},
year = {2007}
}
Comments
27 pages,4 figures