Abstract
This paper is concerned with the following Klein–Gordon equation with sublinear nonlinearity coupled with Born–Infeld theory: $$\begin{aligned} \left\{ \begin{array}{ll} \displaystyle -\Delta u+ V(x)u-(2\omega +\phi )\phi u=f(x,u), &{}\quad x\in {\mathbb {R}}^{3},\\ \Delta \phi +\beta \Delta _{4}\phi =4\pi (\omega +\phi )u^{2},&{}\quad x\in {\mathbb {R}}^{3}. \end{array} \right. \end{aligned}$$ Under some appropriate assumptions on V(x) and f(x, u), we prove the existence of infinitely many negative-energy solutions for the above system via the genus properties in critical point theory. Some recent results from the literature are improved and 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.