Multiplicity of solutions for a class of Kirchhoff type problems
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- He, Xm. & Zou, Wm. Acta Math. Appl. Sin. Engl. Ser. (2010) 26: 387. doi:10.1007/s10255-010-0005-2
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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.