Before revision:  One important application of this problem is the discretized energy functional minimization problem of non-rotating Bose-Einstein condensate (BEC) . We solve such a problem by exploiting its characterization as a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv) .
After revision:  One important application of this problem is the discretized energy functional minimization problem of non-rotating Bose-Einstein condensates (BECs) as one of the important applications. Such a problem is studied by exploiting its characterization as a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv) .