Infinitely many solutions for a gauged nonlinear Schrödinger equation

This paper is concerned with a gauged nonlinear Schrödinger equation −Δu+ωu+h2(|x|)|x|2+∫|x|∞h(s)su2(s)dsu=f(|x|,u)inR2.Under some suitable conditions on the nonlinearity f, we obtain two new existence results of infinitely many high energy solutions by using variational methods, and our results generalize and improve the recent result in the literature.