We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and rst 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 [22].
Invariant cones for linear elliptic systems with gradient coupling
Antonio Vitolo
In corso di stampa
Abstract
We discuss counterexamples to the validity of the weak Maximum Principle for linear elliptic systems with zero and rst 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 [22].File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
