On some variational algebraic problems
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algebraicnonlinearsomeachievedapplicationsappropriatebehaviorcritical
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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.
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