In this paper, we study the constrained minimization problem (1.1) of the Kirchhoff–Schrödinger energy functional under an \(L^{2}\)-subcritical perturbation. The existence and nonexistence of constraint minimizers are completely classified in terms of the \(L^{2}\)-subcritical exponent q. Especially for \(q\in (\frac{4}{3},\frac{8}{3})\), we prove that there exists a critical value \(\beta ^{*}\) such that (1.1) has no minimizer if the coefficient \(\beta \) of \(L^{2}\)-critical term satisfies \(\beta =\beta ^{*}\). For \(q\in (\frac{4}{3},\frac{8}{3})\), the blow-up behavior of minimizers as \(\beta \nearrow \beta ^{*}\) are also analyzed rigorously if the coefficient \(\lambda \) of \(L^{2}\)-subcritical term satisfies \(\lambda >\lambda _{0}\), where \(\lambda _{0}\) is a positive constant.

在本文中，我们研究了\(L^{2}\) -亚临界扰动下 Kirchhoff-Schrödinger 能量泛函的约束最小化问题（1.1）。约束最小化器的存在和不存在完全根据\(L^{2}\) -次临界指数q 进行分类。特别是对于\(q\in (\frac{4}{3},\frac{8}{3})\)，我们证明存在一个临界值\(\beta ^{*}\)使得 ( 1.1）不具有最小化如果系数\（\测试\）的\（L ^ {2} \） -临界术语满足\（\测试= \的β^ {*} \） 。对于\(q\in (\frac{4}{3},\frac{8}{3})\)，最小化器的爆炸行为为\（\测试\ nearrow \的β^ {*} \）进行了分析严格如果系数\（\拉姆达\）的\（L ^ {2} \） -subcritical术语满足\（\拉姆达> \拉姆达_ { 0}\)，其中\(\lambda _{0}\)是一个正常数。