Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
A source-nonlinear second order Dirichlet boundary value problem for ODE in connection with standing wave solutions of nonlinear Schrödinger equations is investigated. Under certain conditions imposed on the nonlinearity, the existence of a solution with prescribed number of zeros is established.
source-nonlinear second order Dirichlet boundary value problem
standing wave solutions of nonlinear Schrödinger equations
scientific article; zbMATH DE number 4138183