“…In particular, to guarantee this compactness condition of an energy functional corresponding to problems of the elliptic type with the nonlinear term satisfying (F2), it is crucial that M(ζ) is non-decreasing for all ζ ≥ 0. Because of this reason, when (M3) is satisfied, many researchers have considered some conditions of the nonlinear term which differ from (F2); see [11,15,18,22,28,[31][32][33][34][36][37][38]45]. From this perspective, one of the novelties of the present paper is to accomplish the existence of a sequence of small energy solutions to (1) without the monotonicity of M when (F2) is assumed.…”