Abstract
In this work, we consider the Schrodinger-Poisson equations with the fractional Laplacian of order α in R^n. Under some suitable assumptions on potential V(x) and the nonlinear term f(x, u), the existence of multiple solutions is proved by using the Mountain Pass Theorem and the Ekeland's variational principle in critical point theory. As a special case, we prove the existence of two nontrivial radial solutions when V(x)=1, f(x, u)=|u|^p-2 u.
Sign-in/Register to access full text options 
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.
