Abstract
In this paper, we study multiple solutions for a class of perturbed semilinear Schrödinger equations −△u+V(x)u=f(x,u)+λg(x,u), u∈H1(RN), where f(x,u) is odd in u, and λg(x,u) is regarded as a perturbation term with parameter λ, which is not necessarily odd in u. Under some mild conditions on f and g, we prove that they admit arbitrarily many solutions provided that the perturbation parameter |λ| is small enough.
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.
