Multiple solutions for superlinear Klein–Gordon–Maxwell equations

Dong‐Lun Wu and Hongxia Lin

Mathematische Nachrichten, 2020, vol. 293, issue 9, 1827-1835

Abstract: In this paper, we consider the following Klein–Gordon–Maxwell equations −Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+h(x)inR3,−Δϕ+ϕu2=−ωu2inR3,where ω>0 is a constant, u, ϕ:R3→R, V:R3→R is a potential function. By assuming the coercive condition on V and some new superlinear conditions on f, we obtain two nontrivial solutions when h is nonzero and infinitely many solutions when f is odd in u and h≡0 for above equations.

Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201900129

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:9:p:1827-1835

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().