Existence and Asymptotic Behavior of Boundary Blow‐Up Solutions for Weighted p(x)‐Laplacian Equations with Exponential Nonlinearities

Li Yin, Yunrui Guo, Jing Yang, Bibo Lu and Qihu Zhang

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: This paper investigates the following p(x)‐Laplacian equations with exponential nonlinearities: −Δp(x)u + ρ(x)ef(x,u) = 0 in Ω, u(x)→+∞ as d(x, ∂Ω) → 0, where −Δp(x)u = −div(|∇u|p(x)−2∇u) is called p(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.

Date: 2010
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https://doi.org/10.1155/2010/971268

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:971268

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