We consider ground states of three-dimensional dipolar Bose–Einstein condensate, which can be described equivalently by positive
$$L^2$$
-constraint critical points of the Gross–Pitaevskii energy functional involving mass-subcritical perturbation. When the physical parameters describing the strength of nonlinearities lie in a defined regime, the corresponding energy functional is unbounded on the
$$L^2$$
-spheres, so we turn to study a suitable local minimization problem and prove the existence of ground states. Furtherm...
