Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth

We propose a simple minimization method to show the existence of least energy solutions normalized problem{??u+?u=g(u)inRN,N?3,u?H1(RN),?RN|u|2dx=?>0, where ? is prescribed and (?,u)?R×H1(RN) be determined. The new approach based on direct functional linear combination Nehari Pohozaev constraints intersected with closed ball in L2(RN) radius demonstrated, which allows provide general growth assumptions imposed g. cover most known physical examples nonlinearities considered literature so far as well we admit mass critical at 0.