Title of article
Multiple solutions for the nonhomogeneous Klein–Gordon equation coupled with Born–Infeld theory on
Author/Authors
Chen، نويسنده , , Shang-Jie and Li، نويسنده , , Lin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
8
From page
517
To page
524
Abstract
In this paper we prove the existence of multiple solutions for the following nonhomogeneous Klein–Gordon equation coupled with Born–Infeld theory, { − Δ u + [ m 2 − ( ω + ϕ ) 2 ] u = | u | q − 2 u + h ( x ) , in R 3 , Δ ϕ + β Δ 4 ϕ = 4 π ( ω + ϕ ) u 2 , in R 3 , when 2 < q < 6 .
Keywords
Superlinear , Nonhomogeneous , Born–Infeld theory , Ekeland’s variational principle , Klein–Gordon equation , Mountain pass theorem , variational methods
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563391
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