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Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weightedp(x)-Laplacian Equations with Exponential Nonlinearities
2010
Abstract and Applied Analysis
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This paper investigates the followingp(x)-Laplacian equations with exponential nonlinearities:−Δp(x)u+ρ(x)ef(x,u)=0inΩ,u(x)→+∞asd(x,∂Ω)→0, where−Δp(x)u=−div(|∇u|p(x)−2∇u)is calledp(x)-Laplacian,ρ(x)∈C(Ω). The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.
doi:10.1155/2010/971268
fatcat:qipxdlzqcfcl7kvmlhyaoyysue