In this paper, we are concerned with the existence of solutions for the following Kirchhoff type equation with saturable nonlinearity: where , and is a parameter. By imposing some suitable conditions on the function , we obtain the existence of normalized solutions and least action solutions for the above problem. Some related results are greatly improved and extended.

中文翻译：

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可饱和非线性基尔霍夫方程的归一化解和最小作用解

在本文中，我们关注以下具有可饱和非线性的 Kirchhoff 型方程解的存在性：其中 、 和 是一个参数。通过对函数 施加一些适当的条件，我们获得了上述问题的归一化解和最小作用解的存在性。一些相关成果得到了很大的改进和扩展。