By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term f , either at zero or at infinity, without symmetry conditions.

Algebraic systems with Lipschitz perturbations

Molica Bisci G;
2015-01-01

Abstract

By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term f , either at zero or at infinity, without symmetry conditions.
2015
Discrete nonlinear boundary value problems
infinitely many solutions
difference equations
critical points theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12078/28398
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