Abstract
In this paper, we are concerned with the following two coupled Schrödinger systems in a bounded domain Ω⊂RN(N=2,3) with Neumann boundary conditions {−ε2Δu+u=μ1u3+βuv2,−ε2Δv+v=μ2v3+βu2v,u>0,v>0,∂u/∂n=0,∂v/∂n=0,on ∂Ω. Suppose the mean curvature H(P) of the boundary ∂Ω has several local minimums or local maximums, we obtain the existence of solutions with multi-peaks to the system with all peaks being on the boundary and all peaks locate either near the local maxima or near the local minima of the mean curvature at the boundary of the domain.
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.
