Taking advantage of a recent critical point theorem, the existence of infinitely many solutionsfor a nonlinear algebraic system with a parameter is established. Our goal was achieved requiring anappropriate behavior of the nonlinear term $f$, either at zero or at infinity, without symmetryconditions. In addition, for a suitable class of systems, a strong discrete maximum principle ispresented.
Existence of solutions for a nonlinear algebraic system with a parameter / Candito, P., G., M.B.. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 218:23(2012), pp. 11700-11707. [10.1016/j.amc.2012.05.058]
Existence of solutions for a nonlinear algebraic system with a parameter
CANDITO, Pasquale;
2012-01-01
Abstract
Taking advantage of a recent critical point theorem, the existence of infinitely many solutionsfor a nonlinear algebraic system with a parameter is established. Our goal was achieved requiring anappropriate behavior of the nonlinear term $f$, either at zero or at infinity, without symmetryconditions. In addition, for a suitable class of systems, a strong discrete maximum principle ispresented.File in questo prodotto:
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