On solutions for a class of Klein–Gordon equations coupled with Born–Infeld theory with Berestycki–Lions conditions on $ \mathbb{R}^3 $

Autor:	Jiayi Fei, Qiongfen Zhang
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	klein–gordon equation born–infeld theory nontrivial solutions berestycki-lions conditions cut-off function Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 32, Iss 4, Pp 2363-2379 (2024)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2024108?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7743d592dcef4733ae592a4d7961bec4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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