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Title
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Multiplicity Results for Kirchhoff Type Elliptic Problems with Hardy Potential
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Type
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JournalPaper
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Keywords
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p-biharmonic type operators, Navier condition, Hardy potential, Variational methods, Critical point theory.
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Abstract
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In this paper, we are concerned with the existence of solutions for fourth-order Kirchhoff type elliptic problems with Hardy potential. In fact, employing a consequence of the local minimum theorem due to Bonanno and mountain pass theorem we look into the existence results for the problem under algebraic conditions with the classical Ambrosetti-Rabinowitz (AR) condition on the nonlinear term. Furthermore, by combining two algebraic conditions on the nonlinear term using two consequences of the local minimum theorem due to Bonanno we ensure the existence of two solutions, applying the mountain pass theorem given by Pucci and Serrin we establish the existence of third solution for our problem (408).
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Researchers
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Ghasem Alizadeh Afrouzi (Second Researcher), mahnaz bagheri (First Researcher)
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