In this paper, we deal with the following Schrödinger-Kirchhoff equation with potentials vanishing at infinity: and where and with , and . We first prove the existence of positive ground state solutions under the assumption that for some , then we show that concentrates at a global minimum point of .

中文翻译：

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势能无穷大消失的薛定谔-基尔霍夫方程的基态解

在本文中，我们处理以下势能在无穷远处消失的薛定谔-基尔霍夫方程：和在哪里和和,和。我们首先证明基态正解的存在假设对于一些，然后我们证明集中在全局最小点。