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Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2021-04-28 , DOI: 10.3934/dcds.2021074
Minbo Yang , Fukun Zhao , Shunneng Zhao

We consider the following nonlocal critical equation
$\begin{equation} -\Delta u = (I_{\mu_1}\ast|u|^{2_{\mu_1}^\ast})|u|^{2_{\mu_1}^\ast-2}u +(I_{\mu_2}\ast|u|^{2_{\mu_2}^\ast})|u|^{2_{\mu_2}^\ast-2}u,\; x\in\mathbb{R}^N, \;\;\;\;\;\;\;(1) \end{equation}$


中文翻译:

具有双重 Hardy-Littlewood-Sobolev 临界指数的非局部方程解的分类

我们考虑以下非局部临界方程
$\begin{方程} -\Delta u = (I_{\mu_1}\ast|u|^{2_{\mu_1}^\ast})|u|^{2_{\mu_1}^\ast-2} u +(I_{\mu_2}\ast|u|^{2_{\mu_2}^\ast})|u|^{2_{\mu_2}^\ast-2}u,\; x\in\mathbb{R}^N, \;\;\;\;\;\;\;(1) \end{方程}$
更新日期:2021-04-28
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