Title
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Multiple Solutions for a Class of Bi-nonlocal Problems with Nonlinear Neumann Boundary Conditions
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Type
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JournalPaper
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Keywords
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Bi-nonlocal problems, Nonlinear Neumann boundary conditions, Mountain pass theorem.
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Abstract
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In this paper, we are interested in a class of bi-nonlocal problems with nonlinear Neumann boundary conditions and sublinear terms at infinity. Using (S+) mapping theory and variational methods, we establish the existence of at least two non-trivial weak solutions for the problem provided that the parameters are large enough. Our result complements and improves some previous ones for the superlinear case when the Ambrosetti-Rabinowitz type conditions are imposed on the nonlinearities (441).
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Researchers
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N. T. Chung (Third Researcher), zohreh Naghizadeh (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)
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