Abstract
Using minimax methods and Lusternik–Schnirelmann theory, we study multiple positive solutions for the Schrödinger–Kirchhoff equation M(∫Ωλ|∇u|2dx+∫Ωλu2dx)[−Δu+u]=f(u) in Ωλ=λΩ. The set Ω⊂R3 is a smooth bounded domain, λ>0 is a parameter, M is a general continuous function and f is a superlinear continuous function with subcritical growth. Our main result relates, for large values of λ, the number of solutions with the least number of closed and contractible in Ω¯ which cover Ω¯.
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.
