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Invariant cones for linear elliptic systems with gradient coupling

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 نشر من قبل Antonio Vitolo
 تاريخ النشر 2021
  مجال البحث
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We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and first order couplings and prove, through a suitable reduction to a nonlinear scalar equation, a quite general result showing that some algebraic condition on the structure of gradient couplings and a cooperativity condition on the matrix of zero order couplings guarantee the existence of invariant cones in the sense of Weinberger [21].



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