Nonlinear perturbations of a periodic Kirchhoff equation in RN

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Existence of a nodal solution with minimal energy for a Kirchhoff equation (2015, background): “Therefore, the study on this class of problems has increased considerably in the last ten years, as can be seen in [1], [2], [6], [10], [12]–[17], [19], [20]–[22], [26]–[29] and references therein.”
The critical problem of Kirchhoff type elliptic equations in dimension four (2014, background): “In recent years, the analysis of the stationary problems of (P0) has been extensively carrying out by many authors, see [2][3][4][10][11][16][17][18][20][21] [22][26][28][29] and so on.”
Existence and Concentration Result for the Kirchhoff Type Equations with General Nonlinearities (2014, background): “For instance, we refer to [3,4,30,31,50,53] and references therein.”
Study of a nonlinear Kirchhoff equation with non-homogeneous material (2014, background): “In [3] it is shown existence of solution for f subcritical and critical.”
Existence of positive solutions for nonlinear Kirchhoff type problems in R3 with critical Sobolev exponent (2013, background): “In [17], Alves and Figueiredo studied the following class of Kirchhoff problem”