# Ground states of a system of nonlinear Schrödinger equations with periodic potentials

@article{Mederski2016GroundSO, title={Ground states of a system of nonlinear Schr{\"o}dinger equations with periodic potentials}, author={Jaroslaw Mederski}, journal={Communications in Partial Differential Equations}, year={2016}, volume={41}, pages={1426 - 1440} }

ABSTRACT We are concerned with a system of coupled Schrödinger equations where F and Vi are periodic in x and 0∉σ(−Δ+Vi) for i = 1,2,…,K, where σ(−Δ+Vi) stands for the spectrum of the Schrödinger operator −Δ+Vi. We impose general assumptions on the nonlinearity F with the subcritical growth and we find a ground state solution being a minimizer of the energy functional associated with the system on a Nehari–Pankov manifold. Our approach is based on a new linking-type result involving the Nehari… Expand

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