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

摘要

We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation-Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. 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.