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.
A remark on assumptions implying maximum principle for some vectorial problems
Creo, Simone;
2026-01-01
Abstract
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.File in questo prodotto:
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