%0 Journal Article %T Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory %A Fangfang Huang %A Qiongfen Zhang %J Journal of Applied Mathematics and Physics %P 1441-1458 %@ 2327-4379 %D 2024 %I Scientific Research Publishing %R 10.4236/jamp.2024.124089 %X In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infinitely many high-energy radial solutions and a ground-state solution for this kind of system, which improve and generalize some related results in the literature. %K Klein-Gordon Equation %K Born-Infeld Theory %K Infinitely Many Solutions %K Ground-State Solution %K Critical Point Theory %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=132924