Abstract
This paper is concerned with the following fourth-order elliptic equations {Δ2u−Δu+V(x)u=f(x,u)in RN,u∈H2(RN), where u:RN→R. Under general assumption on potential V(x), and f(x,u) is indefinite sign and sublinear as |u|→∞, we establish the existence of infinitely many solutions by using the genus properties in critical point theory. Recent results from the literature are extended.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.