This paper is concerned with a quasilinear Schrodinger system. By minimization under a convenient constraint and concentration-compactness lemma, we prove the existence of ground state solutions. Our result covers the case of α + β ∈ (2, 4), which seems to be the first result for a coupled quasilinear Schrodinger system in the periodic situation.

中文翻译：

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周期拟线性薛定谔系统的 Nehari-Pohožaev 型基态解

本文涉及拟线性薛定谔系统。通过在方便的约束和集中紧凑引理下的最小化，我们证明了基态解的存在。我们的结果涵盖了 α + β ∈ (2, 4) 的情况，这似乎是周期性情况下耦合拟线性薛定谔系统的第一个结果。