The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the isoperimetric inequality. Finally, uniqueness results for weak solutions are given.

中文翻译：

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具有数据测度的奇异拟线性椭圆方程

这项工作的目的是研究具有奇异非线性和数据度量的拟线性椭圆方程。在必要或充分条件下，根据数据获得存在和不存在的结果，其中主要成分是等渗不等式。最后，给出了弱解的唯一性结果。