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Title
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Some Multiplicity Results to the Existence of Three Solutions for a Dirichlet Boundary Value Problem Involving the p-Laplacian
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Type
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JournalPaper
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Keywords
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three solutions, critical point, variational methods, multiplicity results, Dirichlet problem
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Abstract
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In this paper we prove the existence of two intervals of positive real parameters λ for a Dirichlet boundary value problem involving the p-Laplacian which admit three weak solutions, whose norms are uniformly bounded with respect to λ belonging to one of the two intervals. Our main tool is a three critical points theorem due to G. Bonanno [A critical points theorem and nonlinear differential problems, J. Global Optim., 28:249–258, 2004]
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Researchers
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Ghasem Alizadeh Afrouzi (Second Researcher), shapour heidarkhani (First Researcher)
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