Abstract The aim of this paper is to give some sufficient conditions, called generalized good-λ conditions, to obtain the weighted Lorentz comparisons between two measurable functions. Moreover, we also present several applications of these results for the gradient estimates of solutions to quasilinear elliptic problems in weighted Lorentz spaces.

中文翻译：

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拟线性椭圆方程加权洛伦兹正则性的广义good-λ技术和应用

摘要 本文的目的是给出一些充分条件，称为广义good-λ条件，以获得两个可测函数之间的加权洛伦兹比较。此外，我们还介绍了这些结果在加权洛伦兹空间中拟线性椭圆问题解的梯度估计的几种应用。