Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established. Our goal was achieved requiring an appropriate behavior of the nonlinear term f, either at zero or at infinity, without symmetry conditions. In addition, for a suitable class of systems, a strong discrete maximum principle is presented. © 2012 Elsevier Inc. All rights reserved.
Candito, P., Molica Bisci, G. (2012). Existence of solutions for a nonlinear algebraic system with a parameter. APPLIED MATHEMATICS AND COMPUTATION, 218(23), 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 solutions for a nonlinear algebraic system with a parameter is established. Our goal was achieved requiring an appropriate behavior of the nonlinear term f, either at zero or at infinity, without symmetry conditions. In addition, for a suitable class of systems, a strong discrete maximum principle is presented. © 2012 Elsevier Inc. All rights reserved.
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