The Semiclassical Limit of the Nonlinear Schrödinger Equation in a Radial Potential

In this paper, we are concerned with the following nonlinear Schrödinger equation: where >0, 20, the functions in this special class have nontrivial angular momentum as it will be specified in the Introduction. Furthermore, our solutions exhibit a “spike-layer” pattern when the parameter approaches zero; our object is to analyse the appearance of such type of concentration asymptotic behaviour in order to locate the asymptotic peaks