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- W1987702956 abstract "We mainly consider the existence and asymptotic behavior of positive solutions of the following system {−Δp(x)u=λp(x)(uα(x)vγ(x)+h1(x)) in Ω,−Δq(x)v=λq(x)(uδ(x)vβ(x)+h2(x)) in Ω,u=v=0 on ∂Ω, where Ω⊂RN is a bounded domain with C2 boundary ∂Ω, 1<p(x),q(x)∈C1(Ω¯) are functions, and −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. When α,β,γ,δ satisfy some conditions and λ is large enough, we proved the existence of a positive solution. In particular, we do not assume any symmetric condition, and we do not assume any sign condition on h1(0) and h2(0)." @default.
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- W1987702956 date "2010-01-01" @default.
- W1987702956 modified "2023-09-27" @default.
- W1987702956 title "Existence and asymptotic behavior of positive solutions for a variable exponent elliptic system without variational structure" @default.
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- W1987702956 doi "https://doi.org/10.1016/j.na.2009.06.069" @default.
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