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Title
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NONTRIVIAL SOLUTIONS FOR NONLINEAR ALGEBRAIC SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS
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Type
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JournalPaper
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Keywords
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Discrete nonlinear boundary value problems; existence; difference equations; critical points theory.
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Abstract
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In this article, we use a critical point theorem (local minimum result) for differentiable functionals to prove the existence of at least one non- trivial solution for a nonlinear algebraic system with a parameter. Our goal is achieved by requiring an appropriate asymptotic behavior of the nonlinear term at zero. Some applications to discrete equations are also presented.
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Researchers
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ARMIN Hadjian (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)
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