We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation . Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions by using a more direct method in two cases: the periodic case and the asymptotically periodic case.
"Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/607078