TITLE:
Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory
AUTHORS:
Fangfang Huang, Qiongfen Zhang
KEYWORDS:
Klein-Gordon Equation, Born-Infeld Theory, Infinitely Many Solutions, Ground-State Solution, Critical Point Theory
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.4,
April
30,
2024
ABSTRACT: 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.