Multiple Solutions to Elliptic Equations on R^N with Combined Nonlinearities

In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations ( P ) λ : - Δ u + V x u = λ Q x u q - 2 u + Q x f u , x ∈ R N ; u ( x ) → 0 , as x → + ∞ , where 1 < q < 2 , 0 < λ ∈ R , N ≥ 3 , V , and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity.