Abstract
In this paper, we study the following quasilinear Schrödinger equation of the form−Δu+V(x)u−Δ(u2)u=g(x,u),x∈RN, where the potential V(x) is allowed to be sign-changing, and the primitive of the nonlinearity g(x,u) is of superlinear growth at infinity in u and is also allowed to be sign-changing. We obtain the existence of infinitely many nontrivial solutions by using dual approach and Mountain Pass Theorem.
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.