Abstract
In this paper we apply the (variant) fountain theorems to study the symmetric nonlinear Kirchhoff nonlocal problems. Under the Ambrosetti-Rabinowitz’s 4-superlinearity condition, or no Ambrosetti-Rabinowitz’s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.
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He, Xm., Zou, Wm. Multiplicity of solutions for a class of Kirchhoff type problems. Acta Math. Appl. Sin. Engl. Ser. 26, 387–394 (2010). https://doi.org/10.1007/s10255-010-0005-2
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DOI: https://doi.org/10.1007/s10255-010-0005-2