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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