In this paper, we establish a new result on the existence of the radial solutions for an eigenvalue problem of singular augmented Hessian equation. By adopting some suitable growth conditions and combining the method of upper and lower solutions, we derive a sufficient condition for the existence of radial solutions of the equations in which the nonlinearity may be singular in some space variables.

中文翻译：

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奇异增广Hessian方程特征值问题的径向解

在本文中，我们建立了一个关于奇异增广Hessian方程特征值问题的径向解存在性的新结果。通过采用一些合适的增长条件，结合上下解的方法，我们推导出了非线性在某些空间变量中可能是奇异的方程的径向解存在的充分条件。