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Radial symmetry for a weighted integral equation of Wolff type
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-12-17 , DOI: 10.1016/j.aml.2020.106951
Huantong Chen , Xiang Li , Minbo Yang

In this paper, we consider a weighted integral equation involving Wolff potentials in Rn u(x)=Wβ,p(|y|auq)(x)and a related differential form div(|u|p2u)=|x|auq(x).where p1,2, q>p1, β>0 and 0a<pβ<n. By applying the method of moving plane introduced by Li and Chen (Chen et al., 2006) we are able to prove the symmetry of the positive solutions.



中文翻译:

Wolff型加权积分方程的径向对称

在本文中,我们考虑了涉及沃尔夫势的加权积分方程。 [Rñ üX=w ^βp|ÿ|一种üqX和相关的差分形式 -d一世v|ü|p-2ü=|X|一种üqX哪里 p1个2q>p-1个β>00-一种<pβ<ñ。通过应用李和陈介绍的移动平面方法(Chen等,2006),我们可以证明正解的对称性。

更新日期:2020-12-24
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