Author(s)

Fangfang Huang^1,2, Qiongfen Zhang^1,2*

¹School of Mathematics and Statistics, Guilin University of Technology, Guilin, China.
²Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, China.

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.

Klein-Gordon Equation, Born-Infeld Theory, Infinitely Many Solutions, Ground-State Solution, Critical Point Theory

Huang, F. and Zhang, Q. (2024) Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory. Journal of Applied Mathematics and Physics, 12, 1441-1458. doi: 10.4236/jamp.2024.124089.