We study a class of Schrodinger–Kirchhoff system involving a critical exponent. We aim to find suitable conditions to assure the existence of a positive ground state solution of Nehari–Pohozaev type ue with exponential decay at infinity for e, and ue concentrates around a global minimum point of V as e → 0+. The nonlinear term includes the nonlinearity f(u) ∼ |u|p−1u for the well-studied case p ∈ [3, 5) and the less-studied case p ∈ (2, 3).

中文翻译：

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非局部薛定谔方程基态解的存在性和浓度

我们研究一类涉及临界指数的薛定谔-基尔霍夫系统。我们的目标是找到合适的条件来确保存在 Nehari-Pohozaev 型 ue 的正基态解，e 的无穷远指数衰减，并且 ue 集中在 V 的全局最小值点附近，因为 e → 0+。非线性项包括非线性 f(u) ∼ |u|p−1u 对于研究充分的情况 p ∈ [3, 5) 和研究较少的情况 p ∈ (2, 3)。