On some variational algebraic problems

Abstract

In this paper by exploiting critical point theory, the existence of two distinct nontrivial solutions for a nonlinear algebraic system with a parameter is established. Our goal is achieved by requiring an appropriate behavior of the nonlinear term $f$ at zero and at infinity. Some applications to difference equations are also presented.

References in corpus (1)

• Nonlinear algebraic systems with discontinuous terms

Cited by in corpus (1)

• Existence of solutions for $p$-Laplacian discrete equations