Jianhua Chen, Xianhua Tang, Huxiao Luo
Abstract:
In this article, we prove the existence of multiple solutions for
following fractional Schrodinger-Poisson system with sign-changing
potential
where
denotes the fractional Laplacian of order
,
and the potential V is allowed to be sign-changing.
Under certain assumptions on f, we obtain infinitely many solutions
for this system.
Submitted June 28, 2016. Published April 5, 2017.
Math Subject Classifications: 35J60, 35J20.
Key Words: Fractional Schrodinger-Poisson systems; sign-changing potential;
symmetric mountain pass theorem; infinitely many solutions.
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Jianhua Chen School of Mathematics and Statistics Central South University Changsha, Hunan 410083, China email: cjh19881129@163.com | |
Xianhua Tang School of Mathematics and Statistics Central South University Changsha, Hunan 410083, China email: tangxh@mail.csu.edu.cn | |
Huxiao Luo School of Mathematics and Statistics Central South University Changsha, Hunan 410083, China email: wshrm7@126.com |
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