论文标题

关于水平集的估计值及其在展示非本地双相方程解决方案规律性方面的作用的注释

A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations

论文作者

Scott, James M., Mengesha, Tadele

论文摘要

在本说明中,我们证明了对$(p,q)$增长函数的级别集的估计值,该函数取决于对非局部双相方程的有界弱解决方案的差异商。该估计与这些解决方案的自我改善属性有关。

In this note we prove an estimate on the level sets of a function with $(p, q)$ growth that depends on the difference quotient of a bounded weak solution to a nonlocal double phase equation. This estimate is related to a self improving property of these solutions.

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