We use an approximation scheme, sub-super solution and Perron's method to show the existence and nonexistence of positive solutions for a boundary value problem with a singular nonlinearity in the equation and on the boundary condition. We also study the asymptotic behavior of the solutions with respect to the parameters.

中文翻译：

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具有奇异项和组合非线性项的椭圆型方程正解的存在性

我们使用近似方案，次超解和Perron方法来证明方程和边界条件上具有奇异非线性的边值问题正解的存在和不存在。我们还研究了关于参数的解的渐近行为。