Abstract
In this paper, we deal with the existence and multiplicity of sign-changing solutions for fractional Schrödinger–Poisson system: (℘) where , and f is a continuous function. Based on perturbation approach and the method of invariant sets of descending flow, we obtain the existence and multiplicity of sign-changing solutions of system (). In addition, by applying the constrained variational method incorporated with Brouwer degree theory, we prove that system () possesses at least one ground state sign-changing solution. Furthermore, we show that the least energy of sign-changing solutions exceed twice than the least energy, and when f is odd, system () admits infinitely many nontrivial solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
