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Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2020-11-25 , DOI: 10.3934/dcdss.2020469 Gongbao Li , , Tao Yang
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2020-11-25 , DOI: 10.3934/dcdss.2020469 Gongbao Li , , Tao Yang
In this paper, we prove two new improved Sobolev inequalities involving weighted Morrey norms in
中文翻译:
改进的 Sobolev 不等式涉及加权 Morrey 范数,以及涉及分数 Laplacian 和 Hardy 项的双临界椭圆系统的非平凡解的存在
在本文中,我们证明了两个新的改进 Sobolev 不等式,它们涉及加权 Morrey 范数
更新日期:2020-11-25
$ {\dot{H}}^s( \mathbb{R}^{n})\times {\dot{H}}^s( \mathbb{R}^{n}) $ |
中文翻译:
改进的 Sobolev 不等式涉及加权 Morrey 范数,以及涉及分数 Laplacian 和 Hardy 项的双临界椭圆系统的非平凡解的存在
在本文中,我们证明了两个新的改进 Sobolev 不等式,它们涉及加权 Morrey 范数
$ {\dot{H}}^s( \mathbb{R}^{n})\times {\dot{H}}^s( \mathbb{R}^{n}) $ |