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We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schr " odinger equation f(x,u), x e R-n,R- u epsilon H-1 (R-n). Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem hasNehari-type ground state solutions by using amore directmethod in two cases: the periodic case and the asymptotically periodic case.

Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations