Abstract
This paper is concerned with the following nonlinear Schrödinger system with magnetic potentials{(−iε∇+A(x))2u+V(x)u=Hu(x,u,v),x∈RN,(−iε∇+A(x))2v+V(x)v=−Hv(x,u,v),x∈RN, where N⩾3, ε is a small parameter, A:RN→RN is the magnetic vector potential and V:RN→R is the electric potential. By applying generalized linking theorems for strongly indefinite functionals, we establish the existence and multiplicity of semiclassical solutions for superquadratic and subcritical nonlinearity.
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.
