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

A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations
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关于水平集估计及其在证明非局部双相方程解的规律性中的作用的注释

DOI:
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发表时间:
2020
期刊:
影响因子:
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通讯作者:
T. Mengesha
T. Mengesha
中科院分区:
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文献类型:
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作者:
J. Scott;T. Mengesha

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在本文中,我们证明了对具有 $(p, q)$ 增长的函数水平集的估计,该估计取决于非局部双相方程的有界弱解的差商。该估计与这些解决方案的自我改进特性有关。
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.
DOI: 10.3934/cpaa.2021174
发表时间: 2021
影响因子: 1
作者:
Scott, James M.;Mengesha, Tadele
通讯作者: Mengesha, Tadele
DOI: 10.4310/cms.2022.v20.n2.a5
发表时间: 2022
影响因子: 1
作者:
Mengesha, Tadele;Scott, James M.
通讯作者: Scott, James M.