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, S., Leonetti, F., Ly, T.G., Macrì, M.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - (2026). [10.1007/s11587-026-01153-1]
A remark on assumptions implying maximum principle for some vectorial problems
Creo, Simone;Leonetti, Francesco
;
2026
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 allegati a questo prodotto
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