Positive radial ground state solutions to critical and supercritical fractional Schr?dinger-Poisson systems
[Objective]The existence of positive radial ground state solutions for a class of fractional Schrödinger-Poisson systems with critical and supercritical exponents is considered.[Methods]First,the solution of the system is transformed into the critical point of the corresponding energy functional by using the variational method,and then the critical point of this system is found by using the Nehari manifold method and the mountain pass theorem.[Results]Finally,in the system,a positive radial ground state solution is obtained under certain conditions.[Conclusion]The existence of solutions for the general integer-order Schrödinger-Poisson system is extended to the fractional-order case.Hopefully,our proposed study may enrich and improve results of the existing literature.
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