Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields
In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer , there exists () > 0 such that, for 0 < < (), the problem has an -bump complex-valued solution. As a result, when → 0, the equation has more and more multi-bump complex-valued solutions.