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Some Background: A typical problem in mathematical physics is the existence of positive radially symmetric solutions to a nonlinear Schrodinger type equation. Such a problem, considered here over the full plane, typically reduces to the following nonlinear boundary value problem (or nonlinear eigenvalue problem) \begin{align} &f_{rr}(r)+\dfrac{1}{r}f_r(r)-\left(\dfrac{n^2}{r^2}+\lambda\right) f(r)+g(f^2(r))f(r)=0\label{vortexEq1}\ &f(0)=0=f(\infty), \end{align} where $ n\in\mathbb{Z}$ , $ \lambda>0$Read more