In this paper, we study a class of the Kirchhoff-Schrödinger-Poisson system. By using the quantitative deformation lemma and degree theory, the existence result of the least energy sign-changing solution is obtained. Meanwhile, the energy doubling property is proved, that is, we prove that the energy of any sign-changing solution is strictly larger than twice that of the least energy. Moreover, we also get the convergence properties of as the parameters and .

中文翻译：

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有界域中Kirchhoff-Schrödinger-Poisson系统的符号转换解决方案的存在

在本文中，我们研究了一类Kirchhoff-Schrödinger-Poisson系统。利用定量变形引理和度数理论，获得了最小能量符号变化解的存在结果。同时，证明了能量加倍性质，即，我们证明任何符号转换解决方案的能量都严格大于最小能量的两倍。此外，我们还获得了作为参数的收敛性 和 。