Infinitely many large energy solutions for Schrödinger-Kirchhoff type problem in R^N

In this paper, we consider the following Schrödinger-Kirchhoff-type problem { − ( a + b ∫ R N | ∇ u |² d x ) Δ u + V ( x ) u = g ( x , u ) for x ∈ R^N , ( 1.1 ) u ( x ) → 0 as | x | → ∞ , where constants a 0 ; b ≥ 0 , N = 1 ; 2 or 3 , V ∈ C ( R^N ; R ) , g ∈ C ( R N × R ; R ) . Under more relaxed assumptions on g ( x ; u ) , by using some special techniques, a new existence result of infinitely many energy solutions is obtained via Symmetric Mountain Pass Theorem.