Multiplicity of high energy solutions for superlinear Kirchhoff equations

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Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent (2013, background): “Problem on the unbounded domain R has also been considered by authors, such as Jin and Wu [7], Nie and Wu [8], Wu [9], Liu and He [10], Li et al.”
A multiplicity result for asymptotically linear Kirchhoff equations (2017, background): “1) in thewhole spaceRN (N ≥ 3), butwith thenonlinear term a(x)f(u)being replaced by a more general nonlinear term f(x, u), have also been studied extensively, see, for example, [8, 9, 12, 13, 15, 28, 35] and the references therein.”
Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in $R^3$ (2013, methodology): “In [16] and [33], V (x) satisfies (V5), then the method used in [21][18][24][35] can not work.”