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On global estimates for Poisson problems with critical singular potentials
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2021-04-29 , DOI: 10.1016/j.na.2021.112372 Ying Wang , Qingping Yin
中文翻译:
关于具有临界奇异势的泊松问题的全球估计
更新日期:2021-04-30
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2021-04-29 , DOI: 10.1016/j.na.2021.112372 Ying Wang , Qingping Yin
Our aim in this paper is to obtain weighted estimates for Poisson problems involving Hardy–Leray operator or elliptic operators with critical singular gradients . Our method overcomes the difficulty from the singular potentials. Moreover, these estimates could be applied to obtain global estimates for distributional solution of Hardy problem with the Radon source.
中文翻译:
关于具有临界奇异势的泊松问题的全球估计
我们本文的目的是获得加权 Hardy-Leray算子的泊松问题的估计 或具有临界奇异梯度的椭圆算子 。我们的方法克服了奇异电位带来的困难。此外,这些估计数可用于获取全球 Radon源的Hardy问题的分布解的估计。