Existence and multiplicity of non-trivial solutions for Schrodinger-Kirchhoff-type equations with radial potential

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Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent (2014, background): “When V (x) is radially symmetric and f(x, u) satisfies some assumptions, Nie and Wu [39] also studied the existence of infinitely many high energy solutions for problem (1.”
On ground states for the Kirchhoff-type problem with a general critical nonlinearity (2015, background): “If V (x) is radially symmetric, Nie and Wu [30] studied the existence of infinitely many high energy solutions for problem (1.”
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.”
Existence theorems for entire solutions of stationary Kirchhoff fractional p-Laplacian equations (2016, background): “4 extends in several directions the existence results obtained in [14, 25].”