Yu Su, Haibo Chen, Senli Liu, Xianwen Fang
Abstract:
In this article we consider the fractional Schrodinger-Poisson system
where
,
,
,
and
is the Sobolev critical exponent.
By using perturbation method, we establish the existence of a solution for
small enough.
Submitted October 24, 2019. Published January 6, 2020.
Math Subject Classifications: 35B38, 35J47.
Key Words: Fractional Schrodinger-Poisson system; weighted Hardy potential;
critical exponent.
DOI: 10.58997/ejde.2020.01
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Yu Su School of Mathematics and Big Data Anhui University of Science and Technology Huainan, 232001 Anhui, China email: yusumath@qq.com |
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Haibo Chen School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: math_chb@163.com |
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Senli Liu School of Mathematics and Statistics Central South University Changsha, 410083 Hunan, China email: jasonliu0615@163.com |
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Xianwen Fang School of Mathematics and Big Data Anhui University of Science and Technology Huainan, 232001 Anhui, China email: xwfang@aust.edu.cn |
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