Affiliation:
1. School of Mathematics and Statistics, Guilin University of Technology, Guangxi 541004, China
2. Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guangxi 541004, China
Abstract
<abstract><p>In this paper, the existence of multiple solutions for a class of Klein–Gordon equations coupled with Born–Infeld theory was investigated. The potential and the primitive of the nonlinearity in this kind of elliptic equations are both allowed to be sign-changing. Besides, we assumed that the nonlinearity satisfies the Berestycki–Lions type conditions. By employing Ekeland's variational principle, mountain pass theorem, Pohožaev identity, and various other techniques, two nontrivial solutions were obtained under some suitable conditions.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)