Abstract
In this paper, we consider the following system of two weakly coupled fractional nonlinear Schrödinger equations {(−Δ)su+u=(∣u∣2p+b(x)∣u∣p−1∣v∣p+1)ux∈RN(−Δ)sv+ω2sv=(∣v∣2p+b(x)∣v∣p−1∣u∣p+1)vx∈RN. By use of the s-harmonic extension technique, we establish the existence of a nontrivial least energy solution of the system via variational methods. Especially, in the autonomous case i.e. b(x)≡b, a positive least energy solution with both nontrivial components is obtained.
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.
