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q-moment estimates for the singular p-Laplace equation and applications
Nonlinear Analysis ( IF 1.4 ) Pub Date : 2021-05-21 , DOI: 10.1016/j.na.2021.112407
Samuel Drapeau , Liming Yin

We provide q-moment estimates on annuli for weak solutions of the singular p-Laplace equation where p and q are conjugates. We derive q-uniform integrability for some critical parameter range. As applications, we derive a mass conservation as well as a weak convergence result for a larger critical parameter range. Concerning the latter point, we further provide a rate of convergence of order tq1 of the solution in the q-Wasserstein distance.



中文翻译:

q的矩估计 p-拉普拉斯方程和应用

我们提供 q奇异弱解的环矩矩估计 p-拉普拉斯方程式 pq是共轭物。我们得出q-在某些关键参数范围内具有均匀的可积性。作为应用,对于较大的关键参数范围,我们得出了质量守恒以及较弱的收敛结果。关于后一点,我们进一步提供阶数收敛速度Ťq-1个 的解决方案 q-Wasserstein距离。

更新日期:2021-05-22
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