Remark on the N-barrier method for a class of autonomous elliptic systems
Li-Chang Hung
TL;DR
This paper extends the N-barrier maximum principle to more general two-equation systems and establishes it for three-equation systems, broadening its applicability in autonomous elliptic systems.
Contribution
It generalizes the N-barrier maximum principle to a wider class of two-equation systems and introduces its application to three-equation systems.
Findings
Extended N-barrier maximum principle to two-equation systems
Established N-barrier maximum principle for three-equation systems
Broadened the applicability of maximum principles in elliptic systems
Abstract
In this note, we aim to extend the previous work on an N-barrier maximum principle (\cite{hung2015n,hung2015maximum}) to a more general class of systems of two equations. Moreover, an N-barrier maximum principle for systems of three equations is established.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems