摘要

In this article, we consider the existence of infinitely many non-trivial solutions for the following semilinear Schrodinger equation with electromagnetic potential @@@ (- i del +A(x))(2)u + V(x)u = f(x,vertical bar u vertical bar)u, in R-N @@@ where i is the imaginary unit, V is the scalar (or electric) potential, A is the vector (or magnetic) potential. We establish the existence of infinitely many solutions via variational methods.