A Hopf's Lemma for Higher Order Differential Inequalities and Its Applications
Yifei Pan, Mei Wang, and Yu Yan
TL;DR
This paper extends Hopf's Lemma to higher order differential inequalities in one variable, providing a new theoretical tool with various applications.
Contribution
It introduces a sequential Hopf's Lemma for higher order inequalities and demonstrates its applications.
Findings
Established a sequential Hopf's Lemma for higher order inequalities
Derived new results applicable to differential inequality problems
Provided examples illustrating the lemma's utility
Abstract
We establish a sequential Hopf's Lemma for higher order differential inequalities in one variable and give some applications of this result.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Contact Mechanics and Variational Inequalities · Advanced Differential Equations and Dynamical Systems