A class of second-order elliptic equations with variable nonlinearity exponents and the right-hand side in the form of the general Radon measure with finite total variation is considered. The existence of a renormalized solution of the Dirichlet problem is proved as a consequence of stability with respect to the convergence of the right-hand side of the equation.

Bibliography: 37 titles.

中文翻译：

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具有可变指数和一般测量数据的椭圆方程的重整化解

考虑了一类具有可变非线性指数和右手边形式为具有有限总变分的一般氡测度的二阶椭圆方程。狄利克雷问题的重整化解的存在被证明是方程右侧收敛稳定性的结果。

参考书目：37 个标题。