Two Kinds of Iterative Solutions for Generalized Sombrero-shaped   Potential in $N$-dimensional Space
  Based on two different iteration procedures the groundstate wave functions and energies for N-dimensional generalized Sombrero-shaped potentials are solved. Two kinds of trial functions for the iteration procedure are defined. The iterative solutions are convergent nicely to consistent results for different choices of iteration procedures and trial functions. 
Zhao Wei-Qin