Normalized ground state solutions for nonlinear Schrödinger equations with general Sobolev critical nonlinearities

This paper is concerned with the existence of normalized solutions for nonlinear Schrödinger equations. The nonlinearity has a Sobolev critical growth at infinity but does not satisfy the Ambrosetti-Rabinowitz condition. By analysing the monotonicity of the ground state energy with respect to the prescribed mass c, we employ the constrained minimization approach and concentration-compactness principle to establish the existence of normalized ground state solutions for all c>0.