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Multiple positive solutions for nonhomogeneous Klein–Gordon–Maxwell equations

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  • Shi, Hongxia
  • Chen, Haibo

Abstract

In this paper, we study the multiplicity of positive solutions for a class of nonhomogeneous Klein-Gordon-Maxwell equations {−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+h(x),inR3,Δϕ=(ω+ϕ)u2,inR3,where ω is a positive constant. Under some suitable assumptions on V(x), f(x, u) and h(x), we prove the existence of two positive solutions by using the Ekeland’s variational principle and the Mountain Pass Theorem. These results improve the related ones in the literature.

Suggested Citation

  • Shi, Hongxia & Chen, Haibo, 2018. "Multiple positive solutions for nonhomogeneous Klein–Gordon–Maxwell equations," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 504-513.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:504-513
    DOI: 10.1016/j.amc.2018.05.052
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    Cited by:

    1. Dong‐Lun Wu & Hongxia Lin, 2020. "Multiple solutions for superlinear Klein–Gordon–Maxwell equations," Mathematische Nachrichten, Wiley Blackwell, vol. 293(9), pages 1827-1835, September.

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