Infinitely many radial solutions for Kirchhoff-type problems in RN

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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): “2), this difficulty was overcome in [21][18] when V (x) ≡ const by using the radially symmetric Sobolev space H(1) r (R (3)) = {u ∈ H(1)(R(3))| u(|x|) = u(x)},”
Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential (2017, background): “Over the last decade, much attention has been paid to the Kirchhoff type elliptic equation (1), for examples, when V (x) is a nonnegative constant, the existence of radial solutions of (1) was proved in [14] for p > 2.”
Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent (2014, unknown): “3), we refer to [5,17,18,24,27–30,36].”
Existence of positive solutions to Kirchhoff type problems with zero mass (2014, unknown): “There are few papers considering Kirchhoff type problems on RN except [8,9,12,17,25,26].”