Analytical and variational frameworks compare conditions for the maximum principle in elliptic systems, suggesting alternative insights.
The maximum principle for elliptic systems can be derived either from analytic properties of the system or from features of the associated variational functional. In this paper, we compare a componentwise sign condition guaranteeing the maximum principle in the PDE formulation with a monotonicity condition employed in the variational framework.
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Creo et al. (2026) studied this question.
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