Ground states for a fractional Schrödinger–Poisson system involving Hardy potentials

Abstract

The paper concerns a fractional Schrödinger–Poisson system involving Hardy potentials. By using Nehari manifold method, we prove the existence and asymptotic behaviour of ground state solution.

COMMUNICATED BY:

• A. Pankov

Keywords:

• Schrödinger–Poisson system
• Nehari manifold
• ground state solution
• variational methods

2010 Mathematics Subject Classifications:

• 35J50
• 35J60

Acknowledgments

The authors wish to thank the referees for their valuable comments.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research is supported by National Natural Science Foundation of China (NNSFC) [grantno111671354].