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arXiv · 1610.01796

On some variational algebraic problems

Giovanni Molica Bisci·Dušan D. Repovš
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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.

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Giovanni Molica Bisci, Dušan D. Repovš. 2016-10-06. On some variational algebraic problems. https://doi.org/10.1515/anona-2012-0028

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