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<p>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.</p>

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A remark on assumptions implying maximum principle for some vectorial problems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月13日

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  • Simone Creo,
  • Francesco Leonetti,
  • Truong Giang Ly,
  • Marta Macrì

摘要

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.