Lixia Wang, Chunlian Xiong, Pingping Zhao
Abstract:
This article concerns the nonhomogeneous Klein-Gordon equation
coupled with a Born-Infeld type equation,
where ω is a positive constant.
We obtain the existence of two solutions using the Mountain Pass Theorem,
and the Ekeland's variational principle in critical point theory.
Submitted August 2, 2022. Published November 15, 2022.
Math Subject Classifications: 35B33, 35J65, 35Q55.
Key Words: Klein-Gordon equation; Born-Infeld theory; nonhomogeneous;
Mountain pass theorem; Ekeland's variational principle.
DOI: https://doi.org/10.58997/ejde.2022.74
Show me the PDF file (330 KB), TEX file for this article.
 |
Lixia Wang School of Sciences Tianjin Chengjian University Tianjin 300384, China email: wanglixia0311@126.com |
|---|---|
 |
Chunlian Xiong School of Sciences Tianjin Chengjian University Tianjin 300384, China email: xiongcltg@126.com |
| Pingping Zhao School of Sciences Tianjin Chengjian University Tianjin 300384, China email: ppzhao_math@126.com |
Return to the EJDE web page