Abstract
In this paper, we investigate the existence of least energy sign-changing solutions for the Kirchhoff-type problem −a+b∫R3|∇u|2dxΔu+V(x)u=f(u),x∈R3, where a, b > 0 are parameters, V∈C(R3,R), and f∈C(R,R). Under weaker assumptions on V and f, by using variational methods with the aid of a new version of global compactness lemma, we prove that this problem has a least energy sign-changing solution with exactly two nodal domains, and its energy is strictly larger than twice that of least energy solutions.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
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 call
