Existence results of positive solutions of Kirchhoff type problems

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On ground states for the Kirchhoff-type problem with a general critical nonlinearity (2015, methodology): “Using the variant version of the Mountain Pass Theorem, Cheng and Wu [12] also proved two existence results of positive solutions for problem (1.”
Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity (2018, unknown): “Therefore, there exists û ∈ H1(R3) \ {0} such that, passing to a subsequence, {{{ {{{ { ûn ⇀ û in H1(R3), ûn ⇀ û in Ls loc(R 3) for all s ∈ [1, 6), ûn → û, a.”
Multiplicity of high energy solutions for superlinear Kirchhoff equations (2012, background): “Cheng and Wu [15] studied the existence of positive solutions for problem (1.”
Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity (2011, background): “3) by invariant sets of descent flow; Cheng–Wu [6] obtained the existence results of positive solutions of problem (1.”
Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent (2013, background): “[1], Ma and Rivera [2], Cheng and Wu [3], Yang and Zhang [4].”