AI 中文总结
研究非局部Trudinger方程的逐点正则性理论，通过改编精细德乔治 - 莫泽机制，在最优尾条件下建立定量上界及抛物型哈拿克不等式，克服非局部双非线性框架技术难题。
AI 中文摘要
我们对具有可测且有界奇异核的非局部Trudinger方程进行逐点正则性理论研究。在最优尾条件下，建立了精细的定量上界、弱和强抛物型哈拿克不等式。我们的分析依赖于基于迪贝内代托抛物方法的精细德乔治 - 莫泽机制的改编，专门用于克服非局部、双非线性框架的技术复杂性。
英文摘要
We carry on a study of the point-wise regularity theory for the nonlocal Trudinger equation, with measurable and bounded singular kernel. We establish refined quantitative upper bounds, weak and strong parabolic Harnack inequalities, both under optimal tail conditions. Our analysis relies on the adaptation of a refined De Giorgi-Moser machinery based on the parabolic approach á la Di Benedetto, specifically designed to overcome the technical intricacies of the nonlocal, doubly nonlinear framework.
Comments44pages
