ABSTRACT
In this paper, we study the following fractional Schrödinger–Poisson system (FSP) (FSP) where are two fixed constants, is the fractional critical exponent in dimension 3. Under some certain assumptions on non-negative functions and , we obtain the existence of a positive and a sign-changing least energy solution for via variational methods. Moreover, we show that the energy of the sign-changing least solution is strictly larger than twice of the least energy.
Acknowledgments
We should like to thank the anonymous referee for his/her careful readings of our manuscript and the useful comments made for its improvement.
Disclosure statement
No potential conflict of interest was reported by the authors.