具有粗糙指数的$p_ε(x)$ -Laplacian方程的修正和场涨落
Correctors and Field Fluctuations for the $p_ε(x)$-Laplacian with Rough Exponents
摘要：
我们提供了一个校正理论的强近似的复合材料内部的字段由两种材料具有不同的幂律行为。校正器用于开发微结构介质内梯度场的局部奇异性强度的界限。边界是多尺度的性质，可以用来衡量所施加的宏观场的放大的微观结构。
英文摘要：
We provide a corrector theory for the strong approximation of fields inside composites made from two materials with different power law behavior. The correctors are used to develop bounds on the local singularity strength for gradient fields inside micro-structured media. The bounds are multi-scale in nature and can be used to measure the amplification of applied macroscopic fields by the microstructure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
