In this paper, we deal with the following fractional Kirchhoff equation [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a small positive parameter and [Formula: see text] is an odd function satisfying Berestycki–Lions type assumptions. By using minimax arguments, we establish a multiplicity result for the above equation, provided that [Formula: see text] is sufficiently small.
A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity