Nonlinear Schrödinger equations with strongly singular potentials

Jacopo Bellazzini, Claudio Bonanno

In this paper we look for standing waves for nonlinear Schrödinger equations $$i\frac{\partial \psi }{\partial t}+\Delta \psi -g(|y|)\psi -W^{\prime }(|\psi |)\frac{\psi }{|\psi |}=0$$ with cylindrically sym…