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Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory
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摘要 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. 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.
作者 Fangfang Huang Qiongfen Zhang Fangfang Huang;Qiongfen Zhang(School of Mathematics and Statistics, Guilin University of Technology, Guilin, China;Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, China)
出处 《Journal of Applied Mathematics and Physics》 2024年第4期1441-1458,共18页 应用数学与应用物理(英文)
关键词 Klein-Gordon Equation Born-Infeld Theory Infinitely Many Solutions Ground-State Solution Critical Point Theory Klein-Gordon Equation Born-Infeld Theory Infinitely Many Solutions Ground-State Solution Critical Point Theory
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